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Finding the Fourth Proportional to 17,680.48, 24,398.48 and 9,722.68

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Solution

The fourth proportional to 17,680.48, 24,398.48 and 9,722.68 is: 13,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.48 : 24,398.48 = 9,722.68 : x
  2. Step 2: Convert to fraction form
    17,680.48/24,398.48 = 9,722.68/x
  3. Step 3: Cross multiply
    17,680.48x = 24,398.48 × 9,722.68
  4. Step 4: Simplify right side
    17,680.48x = 237,218,613.53
  5. Step 5: Solve for x
    x = 237,218,613.53/17,680.48
  6. Step 6: Final answer
    x = 13,416.98

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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.