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Finding the Fourth Proportional to 27,209.68, 40,804.92 and 9,676.24

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Solution

The fourth proportional to 27,209.68, 40,804.92 and 9,676.24 is: 14,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.68 : 40,804.92 = 9,676.24 : x
  2. Step 2: Convert to fraction form
    27,209.68/40,804.92 = 9,676.24/x
  3. Step 3: Cross multiply
    27,209.68x = 40,804.92 × 9,676.24
  4. Step 4: Simplify right side
    27,209.68x = 394,838,199.10
  5. Step 5: Solve for x
    x = 394,838,199.10/27,209.68
  6. Step 6: Final answer
    x = 14,510.95

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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.