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Finding the Fourth Proportional to 27,347.12, 41,022.69 and 9,817.10

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Solution

The fourth proportional to 27,347.12, 41,022.69 and 9,817.10 is: 14,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.12 : 41,022.69 = 9,817.10 : x
  2. Step 2: Convert to fraction form
    27,347.12/41,022.69 = 9,817.10/x
  3. Step 3: Cross multiply
    27,347.12x = 41,022.69 × 9,817.10
  4. Step 4: Simplify right side
    27,347.12x = 402,723,850.00
  5. Step 5: Solve for x
    x = 402,723,850.00/27,347.12
  6. Step 6: Final answer
    x = 14,726.37

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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.