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Finding the Fourth Proportional to 24,714.76, 34,106.39 and 13,384.27

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Solution

The fourth proportional to 24,714.76, 34,106.39 and 13,384.27 is: 18,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.76 : 34,106.39 = 13,384.27 : x
  2. Step 2: Convert to fraction form
    24,714.76/34,106.39 = 13,384.27/x
  3. Step 3: Cross multiply
    24,714.76x = 34,106.39 × 13,384.27
  4. Step 4: Simplify right side
    24,714.76x = 456,489,132.49
  5. Step 5: Solve for x
    x = 456,489,132.49/24,714.76
  6. Step 6: Final answer
    x = 18,470.30

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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.