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Finding the Fourth Proportional to 29,982.60, 44,974.68 and 9,206.10

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Solution

The fourth proportional to 29,982.60, 44,974.68 and 9,206.10 is: 13,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.60 : 44,974.68 = 9,206.10 : x
  2. Step 2: Convert to fraction form
    29,982.60/44,974.68 = 9,206.10/x
  3. Step 3: Cross multiply
    29,982.60x = 44,974.68 × 9,206.10
  4. Step 4: Simplify right side
    29,982.60x = 414,041,401.55
  5. Step 5: Solve for x
    x = 414,041,401.55/29,982.60
  6. Step 6: Final answer
    x = 13,809.39

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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.