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Finding the Fourth Proportional to 17,713.71, 26,572.10 and 4,565.97

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Solution

The fourth proportional to 17,713.71, 26,572.10 and 4,565.97 is: 6,849.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.71 : 26,572.10 = 4,565.97 : x
  2. Step 2: Convert to fraction form
    17,713.71/26,572.10 = 4,565.97/x
  3. Step 3: Cross multiply
    17,713.71x = 26,572.10 × 4,565.97
  4. Step 4: Simplify right side
    17,713.71x = 121,327,388.61
  5. Step 5: Solve for x
    x = 121,327,388.61/17,713.71
  6. Step 6: Final answer
    x = 6,849.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.