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Finding the Fourth Proportional to 22,737.64, 34,076.22 and 9,574.12

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Solution

The fourth proportional to 22,737.64, 34,076.22 and 9,574.12 is: 14,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.64 : 34,076.22 = 9,574.12 : x
  2. Step 2: Convert to fraction form
    22,737.64/34,076.22 = 9,574.12/x
  3. Step 3: Cross multiply
    22,737.64x = 34,076.22 × 9,574.12
  4. Step 4: Simplify right side
    22,737.64x = 326,249,819.43
  5. Step 5: Solve for x
    x = 326,249,819.43/22,737.64
  6. Step 6: Final answer
    x = 14,348.45

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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.