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Finding the Fourth Proportional to 22,721.64, 31,355.13 and 12,649.74

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Solution

The fourth proportional to 22,721.64, 31,355.13 and 12,649.74 is: 17,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721.64 : 31,355.13 = 12,649.74 : x
  2. Step 2: Convert to fraction form
    22,721.64/31,355.13 = 12,649.74/x
  3. Step 3: Cross multiply
    22,721.64x = 31,355.13 × 12,649.74
  4. Step 4: Simplify right side
    22,721.64x = 396,634,242.17
  5. Step 5: Solve for x
    x = 396,634,242.17/22,721.64
  6. Step 6: Final answer
    x = 17,456.23

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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.