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Finding the Fourth Proportional to 27,902.64, 41,853.96 and 12,317.16

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Solution

The fourth proportional to 27,902.64, 41,853.96 and 12,317.16 is: 18,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.64 : 41,853.96 = 12,317.16 : x
  2. Step 2: Convert to fraction form
    27,902.64/41,853.96 = 12,317.16/x
  3. Step 3: Cross multiply
    27,902.64x = 41,853.96 × 12,317.16
  4. Step 4: Simplify right side
    27,902.64x = 515,521,921.95
  5. Step 5: Solve for x
    x = 515,521,921.95/27,902.64
  6. Step 6: Final answer
    x = 18,475.74

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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.