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Finding the Fourth Proportional to 13,842.16, 20,766.55 and 4,482.19

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Solution

The fourth proportional to 13,842.16, 20,766.55 and 4,482.19 is: 6,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.16 : 20,766.55 = 4,482.19 : x
  2. Step 2: Convert to fraction form
    13,842.16/20,766.55 = 4,482.19/x
  3. Step 3: Cross multiply
    13,842.16x = 20,766.55 × 4,482.19
  4. Step 4: Simplify right side
    13,842.16x = 93,079,685.87
  5. Step 5: Solve for x
    x = 93,079,685.87/13,842.16
  6. Step 6: Final answer
    x = 6,724.36

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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.