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Finding the Fourth Proportional to 28,382.40, 42,572.16 and 10,850.88

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Solution

The fourth proportional to 28,382.40, 42,572.16 and 10,850.88 is: 16,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382.40 : 42,572.16 = 10,850.88 : x
  2. Step 2: Convert to fraction form
    28,382.40/42,572.16 = 10,850.88/x
  3. Step 3: Cross multiply
    28,382.40x = 42,572.16 × 10,850.88
  4. Step 4: Simplify right side
    28,382.40x = 461,945,399.50
  5. Step 5: Solve for x
    x = 461,945,399.50/28,382.40
  6. Step 6: Final answer
    x = 16,275.77

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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.