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Finding the Fourth Proportional to 27,985.52, 41,982.84 and 8,266.07

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Solution

The fourth proportional to 27,985.52, 41,982.84 and 8,266.07 is: 12,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.52 : 41,982.84 = 8,266.07 : x
  2. Step 2: Convert to fraction form
    27,985.52/41,982.84 = 8,266.07/x
  3. Step 3: Cross multiply
    27,985.52x = 41,982.84 × 8,266.07
  4. Step 4: Simplify right side
    27,985.52x = 347,033,094.24
  5. Step 5: Solve for x
    x = 347,033,094.24/27,985.52
  6. Step 6: Final answer
    x = 12,400.45

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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.