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Finding the Fourth Proportional to 17,671.92, 24,387.12 and 9,714.16

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Solution

The fourth proportional to 17,671.92, 24,387.12 and 9,714.16 is: 13,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.92 : 24,387.12 = 9,714.16 : x
  2. Step 2: Convert to fraction form
    17,671.92/24,387.12 = 9,714.16/x
  3. Step 3: Cross multiply
    17,671.92x = 24,387.12 × 9,714.16
  4. Step 4: Simplify right side
    17,671.92x = 236,900,385.62
  5. Step 5: Solve for x
    x = 236,900,385.62/17,671.92
  6. Step 6: Final answer
    x = 13,405.47

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1.5x scale

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.