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Finding the Fourth Proportional to 23,867.67, 35,787.29 and 9,077.70

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Solution

The fourth proportional to 23,867.67, 35,787.29 and 9,077.70 is: 13,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.67 : 35,787.29 = 9,077.70 : x
  2. Step 2: Convert to fraction form
    23,867.67/35,787.29 = 9,077.70/x
  3. Step 3: Cross multiply
    23,867.67x = 35,787.29 × 9,077.70
  4. Step 4: Simplify right side
    23,867.67x = 324,866,237.04
  5. Step 5: Solve for x
    x = 324,866,237.04/23,867.67
  6. Step 6: Final answer
    x = 13,611.14

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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.