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Finding the Fourth Proportional to 22,737.92, 31,378.26 and 12,666.48

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Solution

The fourth proportional to 22,737.92, 31,378.26 and 12,666.48 is: 17,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.92 : 31,378.26 = 12,666.48 : x
  2. Step 2: Convert to fraction form
    22,737.92/31,378.26 = 12,666.48/x
  3. Step 3: Cross multiply
    22,737.92x = 31,378.26 × 12,666.48
  4. Step 4: Simplify right side
    22,737.92x = 397,452,102.72
  5. Step 5: Solve for x
    x = 397,452,102.72/22,737.92
  6. Step 6: Final answer
    x = 17,479.70

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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.