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Finding the Fourth Proportional to 13,308.95, 19,963.43 and 6,286.66

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Solution

The fourth proportional to 13,308.95, 19,963.43 and 6,286.66 is: 9,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.95 : 19,963.43 = 6,286.66 : x
  2. Step 2: Convert to fraction form
    13,308.95/19,963.43 = 6,286.66/x
  3. Step 3: Cross multiply
    13,308.95x = 19,963.43 × 6,286.66
  4. Step 4: Simplify right side
    13,308.95x = 125,503,296.84
  5. Step 5: Solve for x
    x = 125,503,296.84/13,308.95
  6. Step 6: Final answer
    x = 9,429.99

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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.