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Finding the Fourth Proportional to 21,622.74, 32,438.49 and 9,142.74

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Solution

The fourth proportional to 21,622.74, 32,438.49 and 9,142.74 is: 13,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.74 : 32,438.49 = 9,142.74 : x
  2. Step 2: Convert to fraction form
    21,622.74/32,438.49 = 9,142.74/x
  3. Step 3: Cross multiply
    21,622.74x = 32,438.49 × 9,142.74
  4. Step 4: Simplify right side
    21,622.74x = 296,576,737.01
  5. Step 5: Solve for x
    x = 296,576,737.01/21,622.74
  6. Step 6: Final answer
    x = 13,715.97

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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.