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Finding the Fourth Proportional to 29,686.20, 44,529.30 and 9,965.40

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Solution

The fourth proportional to 29,686.20, 44,529.30 and 9,965.40 is: 14,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.20 : 44,529.30 = 9,965.40 : x
  2. Step 2: Convert to fraction form
    29,686.20/44,529.30 = 9,965.40/x
  3. Step 3: Cross multiply
    29,686.20x = 44,529.30 × 9,965.40
  4. Step 4: Simplify right side
    29,686.20x = 443,752,286.22
  5. Step 5: Solve for x
    x = 443,752,286.22/29,686.20
  6. Step 6: Final answer
    x = 14,948.10

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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.