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Finding the Fourth Proportional to 38,497.20, 57,745.80 and 13,565.40

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Solution

The fourth proportional to 38,497.20, 57,745.80 and 13,565.40 is: 20,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.20 : 57,745.80 = 13,565.40 : x
  2. Step 2: Convert to fraction form
    38,497.20/57,745.80 = 13,565.40/x
  3. Step 3: Cross multiply
    38,497.20x = 57,745.80 × 13,565.40
  4. Step 4: Simplify right side
    38,497.20x = 783,344,875.32
  5. Step 5: Solve for x
    x = 783,344,875.32/38,497.20
  6. Step 6: Final answer
    x = 20,348.10

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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.