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Finding the Fourth Proportional to 13,228.66, 19,854.78 and 6,658.66

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Solution

The fourth proportional to 13,228.66, 19,854.78 and 6,658.66 is: 9,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.66 : 19,854.78 = 6,658.66 : x
  2. Step 2: Convert to fraction form
    13,228.66/19,854.78 = 6,658.66/x
  3. Step 3: Cross multiply
    13,228.66x = 19,854.78 × 6,658.66
  4. Step 4: Simplify right side
    13,228.66x = 132,206,229.39
  5. Step 5: Solve for x
    x = 132,206,229.39/13,228.66
  6. Step 6: Final answer
    x = 9,993.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.