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Finding the Fourth Proportional to 28,209.38, 42,314.06 and 7,432.88

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Solution

The fourth proportional to 28,209.38, 42,314.06 and 7,432.88 is: 11,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209.38 : 42,314.06 = 7,432.88 : x
  2. Step 2: Convert to fraction form
    28,209.38/42,314.06 = 7,432.88/x
  3. Step 3: Cross multiply
    28,209.38x = 42,314.06 × 7,432.88
  4. Step 4: Simplify right side
    28,209.38x = 314,515,137.30
  5. Step 5: Solve for x
    x = 314,515,137.30/28,209.38
  6. Step 6: Final answer
    x = 11,149.31

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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.