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Finding the Fourth Proportional to 15,432, 21,306.40 and 9,554.24

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Solution

The fourth proportional to 15,432, 21,306.40 and 9,554.24 is: 13,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,432 : 21,306.40 = 9,554.24 : x
  2. Step 2: Convert to fraction form
    15,432/21,306.40 = 9,554.24/x
  3. Step 3: Cross multiply
    15,432x = 21,306.40 × 9,554.24
  4. Step 4: Simplify right side
    15,432x = 203,566,459.14
  5. Step 5: Solve for x
    x = 203,566,459.14/15,432
  6. Step 6: Final answer
    x = 13,191.19

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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.