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Finding the Fourth Proportional to 28,382.54, 42,580.01 and 8,662.61

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Solution

The fourth proportional to 28,382.54, 42,580.01 and 8,662.61 is: 12,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382.54 : 42,580.01 = 8,662.61 : x
  2. Step 2: Convert to fraction form
    28,382.54/42,580.01 = 8,662.61/x
  3. Step 3: Cross multiply
    28,382.54x = 42,580.01 × 8,662.61
  4. Step 4: Simplify right side
    28,382.54x = 368,854,148.53
  5. Step 5: Solve for x
    x = 368,854,148.53/28,382.54
  6. Step 6: Final answer
    x = 12,995.81

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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.