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Finding the Fourth Proportional to 24,942, 34,419.96 and 13,764

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Solution

The fourth proportional to 24,942, 34,419.96 and 13,764 is: 18,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942 : 34,419.96 = 13,764 : x
  2. Step 2: Convert to fraction form
    24,942/34,419.96 = 13,764/x
  3. Step 3: Cross multiply
    24,942x = 34,419.96 × 13,764
  4. Step 4: Simplify right side
    24,942x = 473,756,329.44
  5. Step 5: Solve for x
    x = 473,756,329.44/24,942
  6. Step 6: Final answer
    x = 18,994.32

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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.