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Finding the Fourth Proportional to 21,395.84, 32,067 and 10,299.56

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Solution

The fourth proportional to 21,395.84, 32,067 and 10,299.56 is: 15,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,395.84 : 32,067 = 10,299.56 : x
  2. Step 2: Convert to fraction form
    21,395.84/32,067 = 10,299.56/x
  3. Step 3: Cross multiply
    21,395.84x = 32,067 × 10,299.56
  4. Step 4: Simplify right side
    21,395.84x = 330,275,830.19
  5. Step 5: Solve for x
    x = 330,275,830.19/21,395.84
  6. Step 6: Final answer
    x = 15,436.45

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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.