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Finding the Fourth Proportional to 13,503.40, 20,255.10 and 12,682.60

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Solution

The fourth proportional to 13,503.40, 20,255.10 and 12,682.60 is: 19,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.40 : 20,255.10 = 12,682.60 : x
  2. Step 2: Convert to fraction form
    13,503.40/20,255.10 = 12,682.60/x
  3. Step 3: Cross multiply
    13,503.40x = 20,255.10 × 12,682.60
  4. Step 4: Simplify right side
    13,503.40x = 256,887,331.26
  5. Step 5: Solve for x
    x = 256,887,331.26/13,503.40
  6. Step 6: Final answer
    x = 19,023.90

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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.