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Finding the Fourth Proportional to 17,714.92, 24,447.70 and 9,757.14

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Solution

The fourth proportional to 17,714.92, 24,447.70 and 9,757.14 is: 13,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714.92 : 24,447.70 = 9,757.14 : x
  2. Step 2: Convert to fraction form
    17,714.92/24,447.70 = 9,757.14/x
  3. Step 3: Cross multiply
    17,714.92x = 24,447.70 × 9,757.14
  4. Step 4: Simplify right side
    17,714.92x = 238,539,582.79
  5. Step 5: Solve for x
    x = 238,539,582.79/17,714.92
  6. Step 6: Final answer
    x = 13,465.46

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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.