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Finding the Fourth Proportional to 22,595.76, 31,182.56 and 13,164.96

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Solution

The fourth proportional to 22,595.76, 31,182.56 and 13,164.96 is: 18,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,595.76 : 31,182.56 = 13,164.96 : x
  2. Step 2: Convert to fraction form
    22,595.76/31,182.56 = 13,164.96/x
  3. Step 3: Cross multiply
    22,595.76x = 31,182.56 × 13,164.96
  4. Step 4: Simplify right side
    22,595.76x = 410,517,155.10
  5. Step 5: Solve for x
    x = 410,517,155.10/22,595.76
  6. Step 6: Final answer
    x = 18,167.88

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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.