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Finding the Fourth Proportional to 28,182.26, 42,278.26 and 9,464.10

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Solution

The fourth proportional to 28,182.26, 42,278.26 and 9,464.10 is: 14,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.26 : 42,278.26 = 9,464.10 : x
  2. Step 2: Convert to fraction form
    28,182.26/42,278.26 = 9,464.10/x
  3. Step 3: Cross multiply
    28,182.26x = 42,278.26 × 9,464.10
  4. Step 4: Simplify right side
    28,182.26x = 400,125,633.15
  5. Step 5: Solve for x
    x = 400,125,633.15/28,182.26
  6. Step 6: Final answer
    x = 14,197.79

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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.