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Finding the Fourth Proportional to 22,764.56, 31,412 and 12,691.76

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Solution

The fourth proportional to 22,764.56, 31,412 and 12,691.76 is: 17,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.56 : 31,412 = 12,691.76 : x
  2. Step 2: Convert to fraction form
    22,764.56/31,412 = 12,691.76/x
  3. Step 3: Cross multiply
    22,764.56x = 31,412 × 12,691.76
  4. Step 4: Simplify right side
    22,764.56x = 398,673,565.12
  5. Step 5: Solve for x
    x = 398,673,565.12/22,764.56
  6. Step 6: Final answer
    x = 17,512.90

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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.