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Finding the Fourth Proportional to 18,543.71, 27,824.72 and 8,681.29

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Solution

The fourth proportional to 18,543.71, 27,824.72 and 8,681.29 is: 13,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.71 : 27,824.72 = 8,681.29 : x
  2. Step 2: Convert to fraction form
    18,543.71/27,824.72 = 8,681.29/x
  3. Step 3: Cross multiply
    18,543.71x = 27,824.72 × 8,681.29
  4. Step 4: Simplify right side
    18,543.71x = 241,554,350.52
  5. Step 5: Solve for x
    x = 241,554,350.52/18,543.71
  6. Step 6: Final answer
    x = 13,026.21

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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.