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Finding the Fourth Proportional to 38,213.89, 57,324.47 and 14,842.15

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Solution

The fourth proportional to 38,213.89, 57,324.47 and 14,842.15 is: 22,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.89 : 57,324.47 = 14,842.15 : x
  2. Step 2: Convert to fraction form
    38,213.89/57,324.47 = 14,842.15/x
  3. Step 3: Cross multiply
    38,213.89x = 57,324.47 × 14,842.15
  4. Step 4: Simplify right side
    38,213.89x = 850,818,382.41
  5. Step 5: Solve for x
    x = 850,818,382.41/38,213.89
  6. Step 6: Final answer
    x = 22,264.64

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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.