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Finding the Fourth Proportional to 38,706.20, 58,065.08 and 13,744.16

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Solution

The fourth proportional to 38,706.20, 58,065.08 and 13,744.16 is: 20,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.20 : 58,065.08 = 13,744.16 : x
  2. Step 2: Convert to fraction form
    38,706.20/58,065.08 = 13,744.16/x
  3. Step 3: Cross multiply
    38,706.20x = 58,065.08 × 13,744.16
  4. Step 4: Simplify right side
    38,706.20x = 798,055,483.98
  5. Step 5: Solve for x
    x = 798,055,483.98/38,706.20
  6. Step 6: Final answer
    x = 20,618.29

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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.