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Finding the Fourth Proportional to 16,229.92, 22,409.04 and 10,657.12

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Solution

The fourth proportional to 16,229.92, 22,409.04 and 10,657.12 is: 14,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.92 : 22,409.04 = 10,657.12 : x
  2. Step 2: Convert to fraction form
    16,229.92/22,409.04 = 10,657.12/x
  3. Step 3: Cross multiply
    16,229.92x = 22,409.04 × 10,657.12
  4. Step 4: Simplify right side
    16,229.92x = 238,815,828.36
  5. Step 5: Solve for x
    x = 238,815,828.36/16,229.92
  6. Step 6: Final answer
    x = 14,714.54

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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.