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Finding the Fourth Proportional to 17,672.13, 24,386.16 and 9,713.88

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Solution

The fourth proportional to 17,672.13, 24,386.16 and 9,713.88 is: 13,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.13 : 24,386.16 = 9,713.88 : x
  2. Step 2: Convert to fraction form
    17,672.13/24,386.16 = 9,713.88/x
  3. Step 3: Cross multiply
    17,672.13x = 24,386.16 × 9,713.88
  4. Step 4: Simplify right side
    17,672.13x = 236,884,231.90
  5. Step 5: Solve for x
    x = 236,884,231.90/17,672.13
  6. Step 6: Final answer
    x = 13,404.40

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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.