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Finding the Fourth Proportional to 24,377.32, 33,640.32 and 13,770.34

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Solution

The fourth proportional to 24,377.32, 33,640.32 and 13,770.34 is: 19,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.32 : 33,640.32 = 13,770.34 : x
  2. Step 2: Convert to fraction form
    24,377.32/33,640.32 = 13,770.34/x
  3. Step 3: Cross multiply
    24,377.32x = 33,640.32 × 13,770.34
  4. Step 4: Simplify right side
    24,377.32x = 463,238,644.11
  5. Step 5: Solve for x
    x = 463,238,644.11/24,377.32
  6. Step 6: Final answer
    x = 19,002.85

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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.