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Finding the Fourth Proportional to 13,870.38, 20,805.39 and 3,482.13

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Solution

The fourth proportional to 13,870.38, 20,805.39 and 3,482.13 is: 5,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.38 : 20,805.39 = 3,482.13 : x
  2. Step 2: Convert to fraction form
    13,870.38/20,805.39 = 3,482.13/x
  3. Step 3: Cross multiply
    13,870.38x = 20,805.39 × 3,482.13
  4. Step 4: Simplify right side
    13,870.38x = 72,447,072.68
  5. Step 5: Solve for x
    x = 72,447,072.68/13,870.38
  6. Step 6: Final answer
    x = 5,223.15

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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.