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Finding the Fourth Proportional to 38,706.90, 58,046.42 and 13,399.53

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Solution

The fourth proportional to 38,706.90, 58,046.42 and 13,399.53 is: 20,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.90 : 58,046.42 = 13,399.53 : x
  2. Step 2: Convert to fraction form
    38,706.90/58,046.42 = 13,399.53/x
  3. Step 3: Cross multiply
    38,706.90x = 58,046.42 × 13,399.53
  4. Step 4: Simplify right side
    38,706.90x = 777,794,679.18
  5. Step 5: Solve for x
    x = 777,794,679.18/38,706.90
  6. Step 6: Final answer
    x = 20,094.47

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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.