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Finding the Fourth Proportional to 16,207.92, 22,352.04 and 10,229.22

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Solution

The fourth proportional to 16,207.92, 22,352.04 and 10,229.22 is: 14,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.92 : 22,352.04 = 10,229.22 : x
  2. Step 2: Convert to fraction form
    16,207.92/22,352.04 = 10,229.22/x
  3. Step 3: Cross multiply
    16,207.92x = 22,352.04 × 10,229.22
  4. Step 4: Simplify right side
    16,207.92x = 228,643,934.61
  5. Step 5: Solve for x
    x = 228,643,934.61/16,207.92
  6. Step 6: Final answer
    x = 14,106.93

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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.