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Finding the Fourth Proportional to 12,196.15, 16,766.08 and 10,488.40

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Solution

The fourth proportional to 12,196.15, 16,766.08 and 10,488.40 is: 14,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.15 : 16,766.08 = 10,488.40 : x
  2. Step 2: Convert to fraction form
    12,196.15/16,766.08 = 10,488.40/x
  3. Step 3: Cross multiply
    12,196.15x = 16,766.08 × 10,488.40
  4. Step 4: Simplify right side
    12,196.15x = 175,849,375.72
  5. Step 5: Solve for x
    x = 175,849,375.72/12,196.15
  6. Step 6: Final answer
    x = 14,418.43

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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.