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Finding the Fourth Proportional to 38,214.89, 57,325.98 and 14,843.15

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Solution

The fourth proportional to 38,214.89, 57,325.98 and 14,843.15 is: 22,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214.89 : 57,325.98 = 14,843.15 : x
  2. Step 2: Convert to fraction form
    38,214.89/57,325.98 = 14,843.15/x
  3. Step 3: Cross multiply
    38,214.89x = 57,325.98 × 14,843.15
  4. Step 4: Simplify right side
    38,214.89x = 850,897,833.41
  5. Step 5: Solve for x
    x = 850,897,833.41/38,214.89
  6. Step 6: Final answer
    x = 22,266.14

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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.