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Finding the Fourth Proportional to 13,574.40, 20,354.22 and 4,211.88

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Solution

The fourth proportional to 13,574.40, 20,354.22 and 4,211.88 is: 6,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.40 : 20,354.22 = 4,211.88 : x
  2. Step 2: Convert to fraction form
    13,574.40/20,354.22 = 4,211.88/x
  3. Step 3: Cross multiply
    13,574.40x = 20,354.22 × 4,211.88
  4. Step 4: Simplify right side
    13,574.40x = 85,729,532.13
  5. Step 5: Solve for x
    x = 85,729,532.13/13,574.40
  6. Step 6: Final answer
    x = 6,315.53

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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.