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Finding the Fourth Proportional to 27,675.32, 41,509.89 and 9,905.27

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Solution

The fourth proportional to 27,675.32, 41,509.89 and 9,905.27 is: 14,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.32 : 41,509.89 = 9,905.27 : x
  2. Step 2: Convert to fraction form
    27,675.32/41,509.89 = 9,905.27/x
  3. Step 3: Cross multiply
    27,675.32x = 41,509.89 × 9,905.27
  4. Step 4: Simplify right side
    27,675.32x = 411,166,460.57
  5. Step 5: Solve for x
    x = 411,166,460.57/27,675.32
  6. Step 6: Final answer
    x = 14,856.79

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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.