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Finding the Fourth Proportional to 15,862.31, 23,792.11 and 6,499.65

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Solution

The fourth proportional to 15,862.31, 23,792.11 and 6,499.65 is: 9,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.31 : 23,792.11 = 6,499.65 : x
  2. Step 2: Convert to fraction form
    15,862.31/23,792.11 = 6,499.65/x
  3. Step 3: Cross multiply
    15,862.31x = 23,792.11 × 6,499.65
  4. Step 4: Simplify right side
    15,862.31x = 154,640,387.76
  5. Step 5: Solve for x
    x = 154,640,387.76/15,862.31
  6. Step 6: Final answer
    x = 9,748.92

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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.