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Finding the Fourth Proportional to 22,559.46, 31,132.02 and 13,128

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Solution

The fourth proportional to 22,559.46, 31,132.02 and 13,128 is: 18,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.46 : 31,132.02 = 13,128 : x
  2. Step 2: Convert to fraction form
    22,559.46/31,132.02 = 13,128/x
  3. Step 3: Cross multiply
    22,559.46x = 31,132.02 × 13,128
  4. Step 4: Simplify right side
    22,559.46x = 408,701,158.56
  5. Step 5: Solve for x
    x = 408,701,158.56/22,559.46
  6. Step 6: Final answer
    x = 18,116.62

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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.