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Finding the Fourth Proportional to 27,628.12, 41,434.08 and 9,855.91

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Solution

The fourth proportional to 27,628.12, 41,434.08 and 9,855.91 is: 14,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.12 : 41,434.08 = 9,855.91 : x
  2. Step 2: Convert to fraction form
    27,628.12/41,434.08 = 9,855.91/x
  3. Step 3: Cross multiply
    27,628.12x = 41,434.08 × 9,855.91
  4. Step 4: Simplify right side
    27,628.12x = 408,370,563.41
  5. Step 5: Solve for x
    x = 408,370,563.41/27,628.12
  6. Step 6: Final answer
    x = 14,780.98

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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.