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Finding the Fourth Proportional to 38,794.72, 58,138.25 and 17,683.16

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Solution

The fourth proportional to 38,794.72, 58,138.25 and 17,683.16 is: 26,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.72 : 58,138.25 = 17,683.16 : x
  2. Step 2: Convert to fraction form
    38,794.72/58,138.25 = 17,683.16/x
  3. Step 3: Cross multiply
    38,794.72x = 58,138.25 × 17,683.16
  4. Step 4: Simplify right side
    38,794.72x = 1,028,067,597.76
  5. Step 5: Solve for x
    x = 1,028,067,597.76/38,794.72
  6. Step 6: Final answer
    x = 26,500.20

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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.