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Finding the Fourth Proportional to 27,016.72, 40,542.86 and 9,486.08

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Solution

The fourth proportional to 27,016.72, 40,542.86 and 9,486.08 is: 14,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.72 : 40,542.86 = 9,486.08 : x
  2. Step 2: Convert to fraction form
    27,016.72/40,542.86 = 9,486.08/x
  3. Step 3: Cross multiply
    27,016.72x = 40,542.86 × 9,486.08
  4. Step 4: Simplify right side
    27,016.72x = 384,592,813.39
  5. Step 5: Solve for x
    x = 384,592,813.39/27,016.72
  6. Step 6: Final answer
    x = 14,235.36

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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.