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Finding the Fourth Proportional to 27,465.48, 41,182.02 and 9,687.60

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Solution

The fourth proportional to 27,465.48, 41,182.02 and 9,687.60 is: 14,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.48 : 41,182.02 = 9,687.60 : x
  2. Step 2: Convert to fraction form
    27,465.48/41,182.02 = 9,687.60/x
  3. Step 3: Cross multiply
    27,465.48x = 41,182.02 × 9,687.60
  4. Step 4: Simplify right side
    27,465.48x = 398,954,936.95
  5. Step 5: Solve for x
    x = 398,954,936.95/27,465.48
  6. Step 6: Final answer
    x = 14,525.69

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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.