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Finding the Fourth Proportional to 22,129.32, 30,542.40 and 13,182

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Solution

The fourth proportional to 22,129.32, 30,542.40 and 13,182 is: 18,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.32 : 30,542.40 = 13,182 : x
  2. Step 2: Convert to fraction form
    22,129.32/30,542.40 = 13,182/x
  3. Step 3: Cross multiply
    22,129.32x = 30,542.40 × 13,182
  4. Step 4: Simplify right side
    22,129.32x = 402,609,916.80
  5. Step 5: Solve for x
    x = 402,609,916.80/22,129.32
  6. Step 6: Final answer
    x = 18,193.51

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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.