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Finding the Fourth Proportional to 22,931.92, 31,646.24 and 14,969.44

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Solution

The fourth proportional to 22,931.92, 31,646.24 and 14,969.44 is: 20,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.92 : 31,646.24 = 14,969.44 : x
  2. Step 2: Convert to fraction form
    22,931.92/31,646.24 = 14,969.44/x
  3. Step 3: Cross multiply
    22,931.92x = 31,646.24 × 14,969.44
  4. Step 4: Simplify right side
    22,931.92x = 473,726,490.91
  5. Step 5: Solve for x
    x = 473,726,490.91/22,931.92
  6. Step 6: Final answer
    x = 20,657.95

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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.