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Finding the Fourth Proportional to 38,937.16, 58,414.38 and 11,233

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Solution

The fourth proportional to 38,937.16, 58,414.38 and 11,233 is: 16,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,937.16 : 58,414.38 = 11,233 : x
  2. Step 2: Convert to fraction form
    38,937.16/58,414.38 = 11,233/x
  3. Step 3: Cross multiply
    38,937.16x = 58,414.38 × 11,233
  4. Step 4: Simplify right side
    38,937.16x = 656,168,730.54
  5. Step 5: Solve for x
    x = 656,168,730.54/38,937.16
  6. Step 6: Final answer
    x = 16,851.99

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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.