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Finding the Fourth Proportional to 23,294.68, 32,142.38 and 13,737.56

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Solution

The fourth proportional to 23,294.68, 32,142.38 and 13,737.56 is: 18,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.68 : 32,142.38 = 13,737.56 : x
  2. Step 2: Convert to fraction form
    23,294.68/32,142.38 = 13,737.56/x
  3. Step 3: Cross multiply
    23,294.68x = 32,142.38 × 13,737.56
  4. Step 4: Simplify right side
    23,294.68x = 441,557,988.49
  5. Step 5: Solve for x
    x = 441,557,988.49/23,294.68
  6. Step 6: Final answer
    x = 18,955.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.