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Finding the Fourth Proportional to 15,785.62, 23,703 and 15,084.43

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Solution

The fourth proportional to 15,785.62, 23,703 and 15,084.43 is: 22,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.62 : 23,703 = 15,084.43 : x
  2. Step 2: Convert to fraction form
    15,785.62/23,703 = 15,084.43/x
  3. Step 3: Cross multiply
    15,785.62x = 23,703 × 15,084.43
  4. Step 4: Simplify right side
    15,785.62x = 357,546,244.29
  5. Step 5: Solve for x
    x = 357,546,244.29/15,785.62
  6. Step 6: Final answer
    x = 22,650.12

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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.