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Finding the Fourth Proportional to 38,462.44, 57,695.76 and 12,165.22

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Solution

The fourth proportional to 38,462.44, 57,695.76 and 12,165.22 is: 18,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.44 : 57,695.76 = 12,165.22 : x
  2. Step 2: Convert to fraction form
    38,462.44/57,695.76 = 12,165.22/x
  3. Step 3: Cross multiply
    38,462.44x = 57,695.76 × 12,165.22
  4. Step 4: Simplify right side
    38,462.44x = 701,881,613.47
  5. Step 5: Solve for x
    x = 701,881,613.47/38,462.44
  6. Step 6: Final answer
    x = 18,248.49

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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.