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Finding the Fourth Proportional to 11,535.64, 17,240.24 and 8,422.20

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Solution

The fourth proportional to 11,535.64, 17,240.24 and 8,422.20 is: 12,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.64 : 17,240.24 = 8,422.20 : x
  2. Step 2: Convert to fraction form
    11,535.64/17,240.24 = 8,422.20/x
  3. Step 3: Cross multiply
    11,535.64x = 17,240.24 × 8,422.20
  4. Step 4: Simplify right side
    11,535.64x = 145,200,859.09
  5. Step 5: Solve for x
    x = 145,200,859.09/11,535.64
  6. Step 6: Final answer
    x = 12,587.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.