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Finding the Fourth Proportional to 27,987.30, 41,980.95 and 8,266.05

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Solution

The fourth proportional to 27,987.30, 41,980.95 and 8,266.05 is: 12,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.30 : 41,980.95 = 8,266.05 : x
  2. Step 2: Convert to fraction form
    27,987.30/41,980.95 = 8,266.05/x
  3. Step 3: Cross multiply
    27,987.30x = 41,980.95 × 8,266.05
  4. Step 4: Simplify right side
    27,987.30x = 347,016,631.75
  5. Step 5: Solve for x
    x = 347,016,631.75/27,987.30
  6. Step 6: Final answer
    x = 12,399.08

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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.