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Finding the Fourth Proportional to 22,493.54, 31,039.72 and 13,543.94

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Solution

The fourth proportional to 22,493.54, 31,039.72 and 13,543.94 is: 18,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.54 : 31,039.72 = 13,543.94 : x
  2. Step 2: Convert to fraction form
    22,493.54/31,039.72 = 13,543.94/x
  3. Step 3: Cross multiply
    22,493.54x = 31,039.72 × 13,543.94
  4. Step 4: Simplify right side
    22,493.54x = 420,399,916.24
  5. Step 5: Solve for x
    x = 420,399,916.24/22,493.54
  6. Step 6: Final answer
    x = 18,689.81

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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.