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Finding the Fourth Proportional to 24,960.24, 34,444.92 and 13,782

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Solution

The fourth proportional to 24,960.24, 34,444.92 and 13,782 is: 19,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,960.24 : 34,444.92 = 13,782 : x
  2. Step 2: Convert to fraction form
    24,960.24/34,444.92 = 13,782/x
  3. Step 3: Cross multiply
    24,960.24x = 34,444.92 × 13,782
  4. Step 4: Simplify right side
    24,960.24x = 474,719,887.44
  5. Step 5: Solve for x
    x = 474,719,887.44/24,960.24
  6. Step 6: Final answer
    x = 19,019.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.