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Finding the Fourth Proportional to 24,745, 34,148.28 and 13,567

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Solution

The fourth proportional to 24,745, 34,148.28 and 13,567 is: 18,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745 : 34,148.28 = 13,567 : x
  2. Step 2: Convert to fraction form
    24,745/34,148.28 = 13,567/x
  3. Step 3: Cross multiply
    24,745x = 34,148.28 × 13,567
  4. Step 4: Simplify right side
    24,745x = 463,289,714.76
  5. Step 5: Solve for x
    x = 463,289,714.76/24,745
  6. Step 6: Final answer
    x = 18,722.56

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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.