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Finding the Fourth Proportional to 13,643.40, 20,478.15 and 7,074.30

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Solution

The fourth proportional to 13,643.40, 20,478.15 and 7,074.30 is: 10,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.40 : 20,478.15 = 7,074.30 : x
  2. Step 2: Convert to fraction form
    13,643.40/20,478.15 = 7,074.30/x
  3. Step 3: Cross multiply
    13,643.40x = 20,478.15 × 7,074.30
  4. Step 4: Simplify right side
    13,643.40x = 144,868,576.55
  5. Step 5: Solve for x
    x = 144,868,576.55/13,643.40
  6. Step 6: Final answer
    x = 10,618.22

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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.