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Finding the Fourth Proportional to 10,704.54, 16,020.81 and 10,295.58

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Solution

The fourth proportional to 10,704.54, 16,020.81 and 10,295.58 is: 15,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.54 : 16,020.81 = 10,295.58 : x
  2. Step 2: Convert to fraction form
    10,704.54/16,020.81 = 10,295.58/x
  3. Step 3: Cross multiply
    10,704.54x = 16,020.81 × 10,295.58
  4. Step 4: Simplify right side
    10,704.54x = 164,943,531.02
  5. Step 5: Solve for x
    x = 164,943,531.02/10,704.54
  6. Step 6: Final answer
    x = 15,408.75

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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.