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Finding the Fourth Proportional to 16,300,851.90, 24,451,277.85 and 7,797,795.90

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Solution

The fourth proportional to 16,300,851.90, 24,451,277.85 and 7,797,795.90 is: 11,696,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300,851.90 : 24,451,277.85 = 7,797,795.90 : x
  2. Step 2: Convert to fraction form
    16,300,851.90/24,451,277.85 = 7,797,795.90/x
  3. Step 3: Cross multiply
    16,300,851.90x = 24,451,277.85 × 7,797,795.90
  4. Step 4: Simplify right side
    16,300,851.90x = 190,666,074,168,490.84
  5. Step 5: Solve for x
    x = 190,666,074,168,490.84/16,300,851.90
  6. Step 6: Final answer
    x = 11,696,693.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.