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Finding the Fourth Proportional to 13,482.30, 20,219.85 and 4,122.30

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Solution

The fourth proportional to 13,482.30, 20,219.85 and 4,122.30 is: 6,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.30 : 20,219.85 = 4,122.30 : x
  2. Step 2: Convert to fraction form
    13,482.30/20,219.85 = 4,122.30/x
  3. Step 3: Cross multiply
    13,482.30x = 20,219.85 × 4,122.30
  4. Step 4: Simplify right side
    13,482.30x = 83,352,287.66
  5. Step 5: Solve for x
    x = 83,352,287.66/13,482.30
  6. Step 6: Final answer
    x = 6,182.35

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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.