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Finding the Fourth Proportional to 13,641.32, 20,454.62 and 6,237.40

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Solution

The fourth proportional to 13,641.32, 20,454.62 and 6,237.40 is: 9,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.32 : 20,454.62 = 6,237.40 : x
  2. Step 2: Convert to fraction form
    13,641.32/20,454.62 = 6,237.40/x
  3. Step 3: Cross multiply
    13,641.32x = 20,454.62 × 6,237.40
  4. Step 4: Simplify right side
    13,641.32x = 127,583,646.79
  5. Step 5: Solve for x
    x = 127,583,646.79/13,641.32
  6. Step 6: Final answer
    x = 9,352.73

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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.