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Finding the Fourth Proportional to 15,882.60, 21,919.78 and 9,170

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Solution

The fourth proportional to 15,882.60, 21,919.78 and 9,170 is: 12,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.60 : 21,919.78 = 9,170 : x
  2. Step 2: Convert to fraction form
    15,882.60/21,919.78 = 9,170/x
  3. Step 3: Cross multiply
    15,882.60x = 21,919.78 × 9,170
  4. Step 4: Simplify right side
    15,882.60x = 201,004,382.60
  5. Step 5: Solve for x
    x = 201,004,382.60/15,882.60
  6. Step 6: Final answer
    x = 12,655.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.