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Finding the Fourth Proportional to 15,873.16, 23,813.07 and 4,780.66

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Solution

The fourth proportional to 15,873.16, 23,813.07 and 4,780.66 is: 7,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.16 : 23,813.07 = 4,780.66 : x
  2. Step 2: Convert to fraction form
    15,873.16/23,813.07 = 4,780.66/x
  3. Step 3: Cross multiply
    15,873.16x = 23,813.07 × 4,780.66
  4. Step 4: Simplify right side
    15,873.16x = 113,842,191.23
  5. Step 5: Solve for x
    x = 113,842,191.23/15,873.16
  6. Step 6: Final answer
    x = 7,171.99

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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.