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Finding the Fourth Proportional to 22,493.16, 31,039.20 and 13,543.56

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Solution

The fourth proportional to 22,493.16, 31,039.20 and 13,543.56 is: 18,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.16 : 31,039.20 = 13,543.56 : x
  2. Step 2: Convert to fraction form
    22,493.16/31,039.20 = 13,543.56/x
  3. Step 3: Cross multiply
    22,493.16x = 31,039.20 × 13,543.56
  4. Step 4: Simplify right side
    22,493.16x = 420,381,267.55
  5. Step 5: Solve for x
    x = 420,381,267.55/22,493.16
  6. Step 6: Final answer
    x = 18,689.29

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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.