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Finding the Fourth Proportional to 38,778.76, 58,165.82 and 13,817.49

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Solution

The fourth proportional to 38,778.76, 58,165.82 and 13,817.49 is: 20,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,778.76 : 58,165.82 = 13,817.49 : x
  2. Step 2: Convert to fraction form
    38,778.76/58,165.82 = 13,817.49/x
  3. Step 3: Cross multiply
    38,778.76x = 58,165.82 × 13,817.49
  4. Step 4: Simplify right side
    38,778.76x = 803,705,379.91
  5. Step 5: Solve for x
    x = 803,705,379.91/38,778.76
  6. Step 6: Final answer
    x = 20,725.40

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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.