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Finding the Fourth Proportional to 27,432.78, 41,150.69 and 7,709.79

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Solution

The fourth proportional to 27,432.78, 41,150.69 and 7,709.79 is: 11,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432.78 : 41,150.69 = 7,709.79 : x
  2. Step 2: Convert to fraction form
    27,432.78/41,150.69 = 7,709.79/x
  3. Step 3: Cross multiply
    27,432.78x = 41,150.69 × 7,709.79
  4. Step 4: Simplify right side
    27,432.78x = 317,263,178.26
  5. Step 5: Solve for x
    x = 317,263,178.26/27,432.78
  6. Step 6: Final answer
    x = 11,565.11

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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.