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Finding the Fourth Proportional to 12,235.68, 16,758.72 and 11,517.57

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Solution

The fourth proportional to 12,235.68, 16,758.72 and 11,517.57 is: 15,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.68 : 16,758.72 = 11,517.57 : x
  2. Step 2: Convert to fraction form
    12,235.68/16,758.72 = 11,517.57/x
  3. Step 3: Cross multiply
    12,235.68x = 16,758.72 × 11,517.57
  4. Step 4: Simplify right side
    12,235.68x = 193,019,730.71
  5. Step 5: Solve for x
    x = 193,019,730.71/12,235.68
  6. Step 6: Final answer
    x = 15,775.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.