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Finding the Fourth Proportional to 17,680, 24,398.24 and 9,722.08

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Solution

The fourth proportional to 17,680, 24,398.24 and 9,722.08 is: 13,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680 : 24,398.24 = 9,722.08 : x
  2. Step 2: Convert to fraction form
    17,680/24,398.24 = 9,722.08/x
  3. Step 3: Cross multiply
    17,680x = 24,398.24 × 9,722.08
  4. Step 4: Simplify right side
    17,680x = 237,201,641.14
  5. Step 5: Solve for x
    x = 237,201,641.14/17,680
  6. Step 6: Final answer
    x = 13,416.38

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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.