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Finding the Fourth Proportional to 24,939, 34,415.82 and 13,761

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Solution

The fourth proportional to 24,939, 34,415.82 and 13,761 is: 18,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,939 : 34,415.82 = 13,761 : x
  2. Step 2: Convert to fraction form
    24,939/34,415.82 = 13,761/x
  3. Step 3: Cross multiply
    24,939x = 34,415.82 × 13,761
  4. Step 4: Simplify right side
    24,939x = 473,596,099.02
  5. Step 5: Solve for x
    x = 473,596,099.02/24,939
  6. Step 6: Final answer
    x = 18,990.18

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Why These Related Problems?

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