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Finding the Fourth Proportional to 17,614.92, 24,308.52 and 9,548.80

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Solution

The fourth proportional to 17,614.92, 24,308.52 and 9,548.80 is: 13,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.92 : 24,308.52 = 9,548.80 : x
  2. Step 2: Convert to fraction form
    17,614.92/24,308.52 = 9,548.80/x
  3. Step 3: Cross multiply
    17,614.92x = 24,308.52 × 9,548.80
  4. Step 4: Simplify right side
    17,614.92x = 232,117,195.78
  5. Step 5: Solve for x
    x = 232,117,195.78/17,614.92
  6. Step 6: Final answer
    x = 13,177.31

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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.