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Finding the Fourth Proportional to 27,160.68, 40,744.26 and 9,632.28

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Solution

The fourth proportional to 27,160.68, 40,744.26 and 9,632.28 is: 14,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160.68 : 40,744.26 = 9,632.28 : x
  2. Step 2: Convert to fraction form
    27,160.68/40,744.26 = 9,632.28/x
  3. Step 3: Cross multiply
    27,160.68x = 40,744.26 × 9,632.28
  4. Step 4: Simplify right side
    27,160.68x = 392,460,120.71
  5. Step 5: Solve for x
    x = 392,460,120.71/27,160.68
  6. Step 6: Final answer
    x = 14,449.57

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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.