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Finding the Fourth Proportional to 12,952.89, 19,429.34 and 5,167.17

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Solution

The fourth proportional to 12,952.89, 19,429.34 and 5,167.17 is: 7,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.89 : 19,429.34 = 5,167.17 : x
  2. Step 2: Convert to fraction form
    12,952.89/19,429.34 = 5,167.17/x
  3. Step 3: Cross multiply
    12,952.89x = 19,429.34 × 5,167.17
  4. Step 4: Simplify right side
    12,952.89x = 100,394,579.79
  5. Step 5: Solve for x
    x = 100,394,579.79/12,952.89
  6. Step 6: Final answer
    x = 7,750.75

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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.