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Finding the Fourth Proportional to 27,617.31, 41,420.16 and 8,899.02

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Solution

The fourth proportional to 27,617.31, 41,420.16 and 8,899.02 is: 13,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.31 : 41,420.16 = 8,899.02 : x
  2. Step 2: Convert to fraction form
    27,617.31/41,420.16 = 8,899.02/x
  3. Step 3: Cross multiply
    27,617.31x = 41,420.16 × 8,899.02
  4. Step 4: Simplify right side
    27,617.31x = 368,598,832.24
  5. Step 5: Solve for x
    x = 368,598,832.24/27,617.31
  6. Step 6: Final answer
    x = 13,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.