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Finding the Fourth Proportional to 38,442.63, 57,663.60 and 12,147.38

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Solution

The fourth proportional to 38,442.63, 57,663.60 and 12,147.38 is: 18,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.63 : 57,663.60 = 12,147.38 : x
  2. Step 2: Convert to fraction form
    38,442.63/57,663.60 = 12,147.38/x
  3. Step 3: Cross multiply
    38,442.63x = 57,663.60 × 12,147.38
  4. Step 4: Simplify right side
    38,442.63x = 700,461,373.05
  5. Step 5: Solve for x
    x = 700,461,373.05/38,442.63
  6. Step 6: Final answer
    x = 18,220.95

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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.