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Finding the Fourth Proportional to 28,206.47, 42,323.66 and 13,411.55

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Solution

The fourth proportional to 28,206.47, 42,323.66 and 13,411.55 is: 20,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.47 : 42,323.66 = 13,411.55 : x
  2. Step 2: Convert to fraction form
    28,206.47/42,323.66 = 13,411.55/x
  3. Step 3: Cross multiply
    28,206.47x = 42,323.66 × 13,411.55
  4. Step 4: Simplify right side
    28,206.47x = 567,625,882.27
  5. Step 5: Solve for x
    x = 567,625,882.27/28,206.47
  6. Step 6: Final answer
    x = 20,123.96

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