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Finding the Fourth Proportional to 15,635.97, 23,464.89 and 6,877.02

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Solution

The fourth proportional to 15,635.97, 23,464.89 and 6,877.02 is: 10,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.97 : 23,464.89 = 6,877.02 : x
  2. Step 2: Convert to fraction form
    15,635.97/23,464.89 = 6,877.02/x
  3. Step 3: Cross multiply
    15,635.97x = 23,464.89 × 6,877.02
  4. Step 4: Simplify right side
    15,635.97x = 161,368,517.83
  5. Step 5: Solve for x
    x = 161,368,517.83/15,635.97
  6. Step 6: Final answer
    x = 10,320.34

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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.