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Finding the Fourth Proportional to 38,438.80, 57,666.30 and 12,146.20

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Solution

The fourth proportional to 38,438.80, 57,666.30 and 12,146.20 is: 18,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.80 : 57,666.30 = 12,146.20 : x
  2. Step 2: Convert to fraction form
    38,438.80/57,666.30 = 12,146.20/x
  3. Step 3: Cross multiply
    38,438.80x = 57,666.30 × 12,146.20
  4. Step 4: Simplify right side
    38,438.80x = 700,426,413.06
  5. Step 5: Solve for x
    x = 700,426,413.06/38,438.80
  6. Step 6: Final answer
    x = 18,221.86

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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.