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Finding the Fourth Proportional to 27,474.06, 41,186.66 and 9,940

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Solution

The fourth proportional to 27,474.06, 41,186.66 and 9,940 is: 14,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.06 : 41,186.66 = 9,940 : x
  2. Step 2: Convert to fraction form
    27,474.06/41,186.66 = 9,940/x
  3. Step 3: Cross multiply
    27,474.06x = 41,186.66 × 9,940
  4. Step 4: Simplify right side
    27,474.06x = 409,395,400.40
  5. Step 5: Solve for x
    x = 409,395,400.40/27,474.06
  6. Step 6: Final answer
    x = 14,901.16

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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.