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Finding the Fourth Proportional to 18,853.12, 28,279.56 and 5,002

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Solution

The fourth proportional to 18,853.12, 28,279.56 and 5,002 is: 7,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.12 : 28,279.56 = 5,002 : x
  2. Step 2: Convert to fraction form
    18,853.12/28,279.56 = 5,002/x
  3. Step 3: Cross multiply
    18,853.12x = 28,279.56 × 5,002
  4. Step 4: Simplify right side
    18,853.12x = 141,454,359.12
  5. Step 5: Solve for x
    x = 141,454,359.12/18,853.12
  6. Step 6: Final answer
    x = 7,502.97

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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.