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Finding the Fourth Proportional to 38,540.16, 57,807.72 and 12,246.48

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Solution

The fourth proportional to 38,540.16, 57,807.72 and 12,246.48 is: 18,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.16 : 57,807.72 = 12,246.48 : x
  2. Step 2: Convert to fraction form
    38,540.16/57,807.72 = 12,246.48/x
  3. Step 3: Cross multiply
    38,540.16x = 57,807.72 × 12,246.48
  4. Step 4: Simplify right side
    38,540.16x = 707,941,086.83
  5. Step 5: Solve for x
    x = 707,941,086.83/38,540.16
  6. Step 6: Final answer
    x = 18,368.92

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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.