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Finding the Fourth Proportional to 13,842.32, 20,751.88 and 6,045.20

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Solution

The fourth proportional to 13,842.32, 20,751.88 and 6,045.20 is: 9,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.32 : 20,751.88 = 6,045.20 : x
  2. Step 2: Convert to fraction form
    13,842.32/20,751.88 = 6,045.20/x
  3. Step 3: Cross multiply
    13,842.32x = 20,751.88 × 6,045.20
  4. Step 4: Simplify right side
    13,842.32x = 125,449,264.98
  5. Step 5: Solve for x
    x = 125,449,264.98/13,842.32
  6. Step 6: Final answer
    x = 9,062.73

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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.