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Finding the Fourth Proportional to 13,253.31, 19,886.78 and 7,329.11

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Solution

The fourth proportional to 13,253.31, 19,886.78 and 7,329.11 is: 10,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.31 : 19,886.78 = 7,329.11 : x
  2. Step 2: Convert to fraction form
    13,253.31/19,886.78 = 7,329.11/x
  3. Step 3: Cross multiply
    13,253.31x = 19,886.78 × 7,329.11
  4. Step 4: Simplify right side
    13,253.31x = 145,752,317.05
  5. Step 5: Solve for x
    x = 145,752,317.05/13,253.31
  6. Step 6: Final answer
    x = 10,997.43

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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.