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Finding the Fourth Proportional to 22,592.29, 31,177.30 and 12,383.57

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Solution

The fourth proportional to 22,592.29, 31,177.30 and 12,383.57 is: 17,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.29 : 31,177.30 = 12,383.57 : x
  2. Step 2: Convert to fraction form
    22,592.29/31,177.30 = 12,383.57/x
  3. Step 3: Cross multiply
    22,592.29x = 31,177.30 × 12,383.57
  4. Step 4: Simplify right side
    22,592.29x = 386,086,276.96
  5. Step 5: Solve for x
    x = 386,086,276.96/22,592.29
  6. Step 6: Final answer
    x = 17,089.29

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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.