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Finding the Fourth Proportional to 27,429.52, 41,147.58 and 9,656.49

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Solution

The fourth proportional to 27,429.52, 41,147.58 and 9,656.49 is: 14,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.52 : 41,147.58 = 9,656.49 : x
  2. Step 2: Convert to fraction form
    27,429.52/41,147.58 = 9,656.49/x
  3. Step 3: Cross multiply
    27,429.52x = 41,147.58 × 9,656.49
  4. Step 4: Simplify right side
    27,429.52x = 397,341,194.79
  5. Step 5: Solve for x
    x = 397,341,194.79/27,429.52
  6. Step 6: Final answer
    x = 14,485.90

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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.