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Finding the Fourth Proportional to 15,643.53, 23,464.89 and 5,255.28

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Solution

The fourth proportional to 15,643.53, 23,464.89 and 5,255.28 is: 7,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.53 : 23,464.89 = 5,255.28 : x
  2. Step 2: Convert to fraction form
    15,643.53/23,464.89 = 5,255.28/x
  3. Step 3: Cross multiply
    15,643.53x = 23,464.89 × 5,255.28
  4. Step 4: Simplify right side
    15,643.53x = 123,314,567.12
  5. Step 5: Solve for x
    x = 123,314,567.12/15,643.53
  6. Step 6: Final answer
    x = 7,882.78

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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.