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Finding the Fourth Proportional to 24,942.34, 34,420.26 and 13,764.34

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Solution

The fourth proportional to 24,942.34, 34,420.26 and 13,764.34 is: 18,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942.34 : 34,420.26 = 13,764.34 : x
  2. Step 2: Convert to fraction form
    24,942.34/34,420.26 = 13,764.34/x
  3. Step 3: Cross multiply
    24,942.34x = 34,420.26 × 13,764.34
  4. Step 4: Simplify right side
    24,942.34x = 473,772,161.53
  5. Step 5: Solve for x
    x = 473,772,161.53/24,942.34
  6. Step 6: Final answer
    x = 18,994.70

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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.