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Finding the Fourth Proportional to 23,892.12, 35,853.78 and 9,101.18

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Solution

The fourth proportional to 23,892.12, 35,853.78 and 9,101.18 is: 13,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.12 : 35,853.78 = 9,101.18 : x
  2. Step 2: Convert to fraction form
    23,892.12/35,853.78 = 9,101.18/x
  3. Step 3: Cross multiply
    23,892.12x = 35,853.78 × 9,101.18
  4. Step 4: Simplify right side
    23,892.12x = 326,311,705.46
  5. Step 5: Solve for x
    x = 326,311,705.46/23,892.12
  6. Step 6: Final answer
    x = 13,657.71

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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.