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Finding the Fourth Proportional to 22,374.56, 33,562.86 and 15,830

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Solution

The fourth proportional to 22,374.56, 33,562.86 and 15,830 is: 23,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374.56 : 33,562.86 = 15,830 : x
  2. Step 2: Convert to fraction form
    22,374.56/33,562.86 = 15,830/x
  3. Step 3: Cross multiply
    22,374.56x = 33,562.86 × 15,830
  4. Step 4: Simplify right side
    22,374.56x = 531,300,073.80
  5. Step 5: Solve for x
    x = 531,300,073.80/22,374.56
  6. Step 6: Final answer
    x = 23,745.72

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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.