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Finding the Fourth Proportional to 20,909.60, 31,408.14 and 17,629.10

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Solution

The fourth proportional to 20,909.60, 31,408.14 and 17,629.10 is: 26,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,909.60 : 31,408.14 = 17,629.10 : x
  2. Step 2: Convert to fraction form
    20,909.60/31,408.14 = 17,629.10/x
  3. Step 3: Cross multiply
    20,909.60x = 31,408.14 × 17,629.10
  4. Step 4: Simplify right side
    20,909.60x = 553,697,240.87
  5. Step 5: Solve for x
    x = 553,697,240.87/20,909.60
  6. Step 6: Final answer
    x = 26,480.53

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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.