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Finding the Fourth Proportional to 13,426.55, 20,140.22 and 6,407.30

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Solution

The fourth proportional to 13,426.55, 20,140.22 and 6,407.30 is: 9,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.55 : 20,140.22 = 6,407.30 : x
  2. Step 2: Convert to fraction form
    13,426.55/20,140.22 = 6,407.30/x
  3. Step 3: Cross multiply
    13,426.55x = 20,140.22 × 6,407.30
  4. Step 4: Simplify right side
    13,426.55x = 129,044,479.95
  5. Step 5: Solve for x
    x = 129,044,479.95/13,426.55
  6. Step 6: Final answer
    x = 9,611.14

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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.