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Finding the Fourth Proportional to 24,872.69, 34,323.45 and 13,541.99

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Solution

The fourth proportional to 24,872.69, 34,323.45 and 13,541.99 is: 18,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.69 : 34,323.45 = 13,541.99 : x
  2. Step 2: Convert to fraction form
    24,872.69/34,323.45 = 13,541.99/x
  3. Step 3: Cross multiply
    24,872.69x = 34,323.45 × 13,541.99
  4. Step 4: Simplify right side
    24,872.69x = 464,807,645.05
  5. Step 5: Solve for x
    x = 464,807,645.05/24,872.69
  6. Step 6: Final answer
    x = 18,687.47

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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.