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Finding the Fourth Proportional to 12,535.50, 17,294.22 and 8,288.58

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Solution

The fourth proportional to 12,535.50, 17,294.22 and 8,288.58 is: 11,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.50 : 17,294.22 = 8,288.58 : x
  2. Step 2: Convert to fraction form
    12,535.50/17,294.22 = 8,288.58/x
  3. Step 3: Cross multiply
    12,535.50x = 17,294.22 × 8,288.58
  4. Step 4: Simplify right side
    12,535.50x = 143,344,526.01
  5. Step 5: Solve for x
    x = 143,344,526.01/12,535.50
  6. Step 6: Final answer
    x = 11,435.09

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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.