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Finding the Fourth Proportional to 16,278.25, 24,400.35 and 7,518.91

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Solution

The fourth proportional to 16,278.25, 24,400.35 and 7,518.91 is: 11,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.25 : 24,400.35 = 7,518.91 : x
  2. Step 2: Convert to fraction form
    16,278.25/24,400.35 = 7,518.91/x
  3. Step 3: Cross multiply
    16,278.25x = 24,400.35 × 7,518.91
  4. Step 4: Simplify right side
    16,278.25x = 183,464,035.62
  5. Step 5: Solve for x
    x = 183,464,035.62/16,278.25
  6. Step 6: Final answer
    x = 11,270.50

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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.