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Finding the Fourth Proportional to 27,742.07, 41,617.05 and 9,016.08

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Solution

The fourth proportional to 27,742.07, 41,617.05 and 9,016.08 is: 13,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.07 : 41,617.05 = 9,016.08 : x
  2. Step 2: Convert to fraction form
    27,742.07/41,617.05 = 9,016.08/x
  3. Step 3: Cross multiply
    27,742.07x = 41,617.05 × 9,016.08
  4. Step 4: Simplify right side
    27,742.07x = 375,222,618.35
  5. Step 5: Solve for x
    x = 375,222,618.35/27,742.07
  6. Step 6: Final answer
    x = 13,525.40

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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.