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Finding the Fourth Proportional to 22,614.56, 33,916.08 and 7,024.16

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Solution

The fourth proportional to 22,614.56, 33,916.08 and 7,024.16 is: 10,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.56 : 33,916.08 = 7,024.16 : x
  2. Step 2: Convert to fraction form
    22,614.56/33,916.08 = 7,024.16/x
  3. Step 3: Cross multiply
    22,614.56x = 33,916.08 × 7,024.16
  4. Step 4: Simplify right side
    22,614.56x = 238,231,972.49
  5. Step 5: Solve for x
    x = 238,231,972.49/22,614.56
  6. Step 6: Final answer
    x = 10,534.45

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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.