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Finding the Fourth Proportional to 22,702.96, 31,329.30 and 12,493.04

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Solution

The fourth proportional to 22,702.96, 31,329.30 and 12,493.04 is: 17,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.96 : 31,329.30 = 12,493.04 : x
  2. Step 2: Convert to fraction form
    22,702.96/31,329.30 = 12,493.04/x
  3. Step 3: Cross multiply
    22,702.96x = 31,329.30 × 12,493.04
  4. Step 4: Simplify right side
    22,702.96x = 391,398,057.28
  5. Step 5: Solve for x
    x = 391,398,057.28/22,702.96
  6. Step 6: Final answer
    x = 17,239.96

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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.