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Finding the Fourth Proportional to 17,680.77, 24,399 and 9,614.21

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Solution

The fourth proportional to 17,680.77, 24,399 and 9,614.21 is: 13,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.77 : 24,399 = 9,614.21 : x
  2. Step 2: Convert to fraction form
    17,680.77/24,399 = 9,614.21/x
  3. Step 3: Cross multiply
    17,680.77x = 24,399 × 9,614.21
  4. Step 4: Simplify right side
    17,680.77x = 234,576,987.80
  5. Step 5: Solve for x
    x = 234,576,987.80/17,680.77
  6. Step 6: Final answer
    x = 13,267.35

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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.