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Finding the Fourth Proportional to 21,463.17, 32,192.02 and 8,306.54

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Solution

The fourth proportional to 21,463.17, 32,192.02 and 8,306.54 is: 12,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.17 : 32,192.02 = 8,306.54 : x
  2. Step 2: Convert to fraction form
    21,463.17/32,192.02 = 8,306.54/x
  3. Step 3: Cross multiply
    21,463.17x = 32,192.02 × 8,306.54
  4. Step 4: Simplify right side
    21,463.17x = 267,404,301.81
  5. Step 5: Solve for x
    x = 267,404,301.81/21,463.17
  6. Step 6: Final answer
    x = 12,458.75

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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.