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Finding the Fourth Proportional to 28,287.36, 42,414.71 and 11,658.87

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Solution

The fourth proportional to 28,287.36, 42,414.71 and 11,658.87 is: 17,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.36 : 42,414.71 = 11,658.87 : x
  2. Step 2: Convert to fraction form
    28,287.36/42,414.71 = 11,658.87/x
  3. Step 3: Cross multiply
    28,287.36x = 42,414.71 × 11,658.87
  4. Step 4: Simplify right side
    28,287.36x = 494,507,531.68
  5. Step 5: Solve for x
    x = 494,507,531.68/28,287.36
  6. Step 6: Final answer
    x = 17,481.57

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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.