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Finding the Fourth Proportional to 13,642.40, 20,454.68 and 6,236.58

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Solution

The fourth proportional to 13,642.40, 20,454.68 and 6,236.58 is: 9,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.40 : 20,454.68 = 6,236.58 : x
  2. Step 2: Convert to fraction form
    13,642.40/20,454.68 = 6,236.58/x
  3. Step 3: Cross multiply
    13,642.40x = 20,454.68 × 6,236.58
  4. Step 4: Simplify right side
    13,642.40x = 127,567,248.19
  5. Step 5: Solve for x
    x = 127,567,248.19/13,642.40
  6. Step 6: Final answer
    x = 9,350.79

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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.