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Finding the Fourth Proportional to 12,902.74, 17,785.20 and 9,711.24

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Solution

The fourth proportional to 12,902.74, 17,785.20 and 9,711.24 is: 13,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.74 : 17,785.20 = 9,711.24 : x
  2. Step 2: Convert to fraction form
    12,902.74/17,785.20 = 9,711.24/x
  3. Step 3: Cross multiply
    12,902.74x = 17,785.20 × 9,711.24
  4. Step 4: Simplify right side
    12,902.74x = 172,716,345.65
  5. Step 5: Solve for x
    x = 172,716,345.65/12,902.74
  6. Step 6: Final answer
    x = 13,386.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.