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Finding the Fourth Proportional to 38,207.70, 57,319.74 and 11,551.41

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Solution

The fourth proportional to 38,207.70, 57,319.74 and 11,551.41 is: 17,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,207.70 : 57,319.74 = 11,551.41 : x
  2. Step 2: Convert to fraction form
    38,207.70/57,319.74 = 11,551.41/x
  3. Step 3: Cross multiply
    38,207.70x = 57,319.74 × 11,551.41
  4. Step 4: Simplify right side
    38,207.70x = 662,123,817.83
  5. Step 5: Solve for x
    x = 662,123,817.83/38,207.70
  6. Step 6: Final answer
    x = 17,329.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.