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Finding the Fourth Proportional to 27,669.20, 41,498.40 and 9,201.20

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Solution

The fourth proportional to 27,669.20, 41,498.40 and 9,201.20 is: 13,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669.20 : 41,498.40 = 9,201.20 : x
  2. Step 2: Convert to fraction form
    27,669.20/41,498.40 = 9,201.20/x
  3. Step 3: Cross multiply
    27,669.20x = 41,498.40 × 9,201.20
  4. Step 4: Simplify right side
    27,669.20x = 381,835,078.08
  5. Step 5: Solve for x
    x = 381,835,078.08/27,669.20
  6. Step 6: Final answer
    x = 13,800.00

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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.