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Finding the Fourth Proportional to 38,428.86, 57,641.85 and 12,135.18

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Solution

The fourth proportional to 38,428.86, 57,641.85 and 12,135.18 is: 18,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.86 : 57,641.85 = 12,135.18 : x
  2. Step 2: Convert to fraction form
    38,428.86/57,641.85 = 12,135.18/x
  3. Step 3: Cross multiply
    38,428.86x = 57,641.85 × 12,135.18
  4. Step 4: Simplify right side
    38,428.86x = 699,494,225.28
  5. Step 5: Solve for x
    x = 699,494,225.28/38,428.86
  6. Step 6: Final answer
    x = 18,202.32

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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.