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Finding the Fourth Proportional to 22,580.82, 31,162.05 and 13,145.94

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Solution

The fourth proportional to 22,580.82, 31,162.05 and 13,145.94 is: 18,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.82 : 31,162.05 = 13,145.94 : x
  2. Step 2: Convert to fraction form
    22,580.82/31,162.05 = 13,145.94/x
  3. Step 3: Cross multiply
    22,580.82x = 31,162.05 × 13,145.94
  4. Step 4: Simplify right side
    22,580.82x = 409,654,439.58
  5. Step 5: Solve for x
    x = 409,654,439.58/22,580.82
  6. Step 6: Final answer
    x = 18,141.70

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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.