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Finding the Fourth Proportional to 17,711.68, 26,532.96 and 7,827.52

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Solution

The fourth proportional to 17,711.68, 26,532.96 and 7,827.52 is: 11,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.68 : 26,532.96 = 7,827.52 : x
  2. Step 2: Convert to fraction form
    17,711.68/26,532.96 = 7,827.52/x
  3. Step 3: Cross multiply
    17,711.68x = 26,532.96 × 7,827.52
  4. Step 4: Simplify right side
    17,711.68x = 207,687,275.06
  5. Step 5: Solve for x
    x = 207,687,275.06/17,711.68
  6. Step 6: Final answer
    x = 11,726.01

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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.