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Finding the Fourth Proportional to 28,342.68, 42,519.78 and 9,887.64

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Solution

The fourth proportional to 28,342.68, 42,519.78 and 9,887.64 is: 14,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,342.68 : 42,519.78 = 9,887.64 : x
  2. Step 2: Convert to fraction form
    28,342.68/42,519.78 = 9,887.64/x
  3. Step 3: Cross multiply
    28,342.68x = 42,519.78 × 9,887.64
  4. Step 4: Simplify right side
    28,342.68x = 420,420,277.52
  5. Step 5: Solve for x
    x = 420,420,277.52/28,342.68
  6. Step 6: Final answer
    x = 14,833.47

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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.