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Finding the Fourth Proportional to 24,641.24, 34,004.92 and 13,463.24

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Solution

The fourth proportional to 24,641.24, 34,004.92 and 13,463.24 is: 18,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.24 : 34,004.92 = 13,463.24 : x
  2. Step 2: Convert to fraction form
    24,641.24/34,004.92 = 13,463.24/x
  3. Step 3: Cross multiply
    24,641.24x = 34,004.92 × 13,463.24
  4. Step 4: Simplify right side
    24,641.24x = 457,816,399.14
  5. Step 5: Solve for x
    x = 457,816,399.14/24,641.24
  6. Step 6: Final answer
    x = 18,579.28

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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.