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Finding the Fourth Proportional to 15,712.08, 23,531.52 and 7,902

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Solution

The fourth proportional to 15,712.08, 23,531.52 and 7,902 is: 11,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.08 : 23,531.52 = 7,902 : x
  2. Step 2: Convert to fraction form
    15,712.08/23,531.52 = 7,902/x
  3. Step 3: Cross multiply
    15,712.08x = 23,531.52 × 7,902
  4. Step 4: Simplify right side
    15,712.08x = 185,946,071.04
  5. Step 5: Solve for x
    x = 185,946,071.04/15,712.08
  6. Step 6: Final answer
    x = 11,834.59

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