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Finding the Fourth Proportional to 27,689.64, 41,539.92 and 10,159.64

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Solution

The fourth proportional to 27,689.64, 41,539.92 and 10,159.64 is: 15,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.64 : 41,539.92 = 10,159.64 : x
  2. Step 2: Convert to fraction form
    27,689.64/41,539.92 = 10,159.64/x
  3. Step 3: Cross multiply
    27,689.64x = 41,539.92 × 10,159.64
  4. Step 4: Simplify right side
    27,689.64x = 422,030,632.83
  5. Step 5: Solve for x
    x = 422,030,632.83/27,689.64
  6. Step 6: Final answer
    x = 15,241.46

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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.