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Finding the Fourth Proportional to 13,441.60, 20,149.98 and 7,205.95

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Solution

The fourth proportional to 13,441.60, 20,149.98 and 7,205.95 is: 10,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.60 : 20,149.98 = 7,205.95 : x
  2. Step 2: Convert to fraction form
    13,441.60/20,149.98 = 7,205.95/x
  3. Step 3: Cross multiply
    13,441.60x = 20,149.98 × 7,205.95
  4. Step 4: Simplify right side
    13,441.60x = 145,199,748.38
  5. Step 5: Solve for x
    x = 145,199,748.38/13,441.60
  6. Step 6: Final answer
    x = 10,802.27

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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.