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Finding the Fourth Proportional to 28,182.85, 42,279.15 and 9,464.70

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Solution

The fourth proportional to 28,182.85, 42,279.15 and 9,464.70 is: 14,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.85 : 42,279.15 = 9,464.70 : x
  2. Step 2: Convert to fraction form
    28,182.85/42,279.15 = 9,464.70/x
  3. Step 3: Cross multiply
    28,182.85x = 42,279.15 × 9,464.70
  4. Step 4: Simplify right side
    28,182.85x = 400,159,471.01
  5. Step 5: Solve for x
    x = 400,159,471.01/28,182.85
  6. Step 6: Final answer
    x = 14,198.69

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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.