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Finding the Fourth Proportional to 38,704.93, 58,040.13 and 13,406.80

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Solution

The fourth proportional to 38,704.93, 58,040.13 and 13,406.80 is: 20,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.93 : 58,040.13 = 13,406.80 : x
  2. Step 2: Convert to fraction form
    38,704.93/58,040.13 = 13,406.80/x
  3. Step 3: Cross multiply
    38,704.93x = 58,040.13 × 13,406.80
  4. Step 4: Simplify right side
    38,704.93x = 778,132,347.85
  5. Step 5: Solve for x
    x = 778,132,347.85/38,704.93
  6. Step 6: Final answer
    x = 20,104.22

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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.