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Finding the Fourth Proportional to 13,446.90, 20,170.35 and 7,226.10

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Solution

The fourth proportional to 13,446.90, 20,170.35 and 7,226.10 is: 10,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.90 : 20,170.35 = 7,226.10 : x
  2. Step 2: Convert to fraction form
    13,446.90/20,170.35 = 7,226.10/x
  3. Step 3: Cross multiply
    13,446.90x = 20,170.35 × 7,226.10
  4. Step 4: Simplify right side
    13,446.90x = 145,752,966.14
  5. Step 5: Solve for x
    x = 145,752,966.14/13,446.90
  6. Step 6: Final answer
    x = 10,839.15

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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.