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Finding the Fourth Proportional to 22,909.92, 31,606.24 and 14,949.28

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Solution

The fourth proportional to 22,909.92, 31,606.24 and 14,949.28 is: 20,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.92 : 31,606.24 = 14,949.28 : x
  2. Step 2: Convert to fraction form
    22,909.92/31,606.24 = 14,949.28/x
  3. Step 3: Cross multiply
    22,909.92x = 31,606.24 × 14,949.28
  4. Step 4: Simplify right side
    22,909.92x = 472,490,531.51
  5. Step 5: Solve for x
    x = 472,490,531.51/22,909.92
  6. Step 6: Final answer
    x = 20,623.84

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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.