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Finding the Fourth Proportional to 38,728.41, 58,094.78 and 11,024.25

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Solution

The fourth proportional to 38,728.41, 58,094.78 and 11,024.25 is: 16,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.41 : 58,094.78 = 11,024.25 : x
  2. Step 2: Convert to fraction form
    38,728.41/58,094.78 = 11,024.25/x
  3. Step 3: Cross multiply
    38,728.41x = 58,094.78 × 11,024.25
  4. Step 4: Simplify right side
    38,728.41x = 640,451,323.29
  5. Step 5: Solve for x
    x = 640,451,323.29/38,728.41
  6. Step 6: Final answer
    x = 16,536.99

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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.