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Finding the Fourth Proportional to 22,580.28, 31,163.40 and 13,148.82

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Solution

The fourth proportional to 22,580.28, 31,163.40 and 13,148.82 is: 18,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.28 : 31,163.40 = 13,148.82 : x
  2. Step 2: Convert to fraction form
    22,580.28/31,163.40 = 13,148.82/x
  3. Step 3: Cross multiply
    22,580.28x = 31,163.40 × 13,148.82
  4. Step 4: Simplify right side
    22,580.28x = 409,761,937.19
  5. Step 5: Solve for x
    x = 409,761,937.19/22,580.28
  6. Step 6: Final answer
    x = 18,146.89

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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.