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Finding the Fourth Proportional to 29,225.21, 43,843.31 and 9,509.40

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Solution

The fourth proportional to 29,225.21, 43,843.31 and 9,509.40 is: 14,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225.21 : 43,843.31 = 9,509.40 : x
  2. Step 2: Convert to fraction form
    29,225.21/43,843.31 = 9,509.40/x
  3. Step 3: Cross multiply
    29,225.21x = 43,843.31 × 9,509.40
  4. Step 4: Simplify right side
    29,225.21x = 416,923,524.57
  5. Step 5: Solve for x
    x = 416,923,524.57/29,225.21
  6. Step 6: Final answer
    x = 14,265.89

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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.