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Finding the Fourth Proportional to 27,673.40, 41,499.92 and 9,899.28

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Solution

The fourth proportional to 27,673.40, 41,499.92 and 9,899.28 is: 14,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.40 : 41,499.92 = 9,899.28 : x
  2. Step 2: Convert to fraction form
    27,673.40/41,499.92 = 9,899.28/x
  3. Step 3: Cross multiply
    27,673.40x = 41,499.92 × 9,899.28
  4. Step 4: Simplify right side
    27,673.40x = 410,819,328.06
  5. Step 5: Solve for x
    x = 410,819,328.06/27,673.40
  6. Step 6: Final answer
    x = 14,845.28

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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.