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Finding the Fourth Proportional to 24,732.28, 34,131.42 and 13,554.28

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Solution

The fourth proportional to 24,732.28, 34,131.42 and 13,554.28 is: 18,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.28 : 34,131.42 = 13,554.28 : x
  2. Step 2: Convert to fraction form
    24,732.28/34,131.42 = 13,554.28/x
  3. Step 3: Cross multiply
    24,732.28x = 34,131.42 × 13,554.28
  4. Step 4: Simplify right side
    24,732.28x = 462,626,823.48
  5. Step 5: Solve for x
    x = 462,626,823.48/24,732.28
  6. Step 6: Final answer
    x = 18,705.39

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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.