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Finding the Fourth Proportional to 22,609.12, 31,200.96 and 12,538

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Solution

The fourth proportional to 22,609.12, 31,200.96 and 12,538 is: 17,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.12 : 31,200.96 = 12,538 : x
  2. Step 2: Convert to fraction form
    22,609.12/31,200.96 = 12,538/x
  3. Step 3: Cross multiply
    22,609.12x = 31,200.96 × 12,538
  4. Step 4: Simplify right side
    22,609.12x = 391,197,636.48
  5. Step 5: Solve for x
    x = 391,197,636.48/22,609.12
  6. Step 6: Final answer
    x = 17,302.65

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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.