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Finding the Fourth Proportional to 28,382.24, 42,572.90 and 9,675.31

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Solution

The fourth proportional to 28,382.24, 42,572.90 and 9,675.31 is: 14,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382.24 : 42,572.90 = 9,675.31 : x
  2. Step 2: Convert to fraction form
    28,382.24/42,572.90 = 9,675.31/x
  3. Step 3: Cross multiply
    28,382.24x = 42,572.90 × 9,675.31
  4. Step 4: Simplify right side
    28,382.24x = 411,906,005.10
  5. Step 5: Solve for x
    x = 411,906,005.10/28,382.24
  6. Step 6: Final answer
    x = 14,512.81

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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.