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Finding the Fourth Proportional to 38,812.74, 58,170.40 and 16,600

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Solution

The fourth proportional to 38,812.74, 58,170.40 and 16,600 is: 24,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,812.74 : 58,170.40 = 16,600 : x
  2. Step 2: Convert to fraction form
    38,812.74/58,170.40 = 16,600/x
  3. Step 3: Cross multiply
    38,812.74x = 58,170.40 × 16,600
  4. Step 4: Simplify right side
    38,812.74x = 965,628,640
  5. Step 5: Solve for x
    x = 965,628,640/38,812.74
  6. Step 6: Final answer
    x = 24,879.17

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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.