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Finding the Fourth Proportional to 12,295.97, 18,443.96 and 5,271.42

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Solution

The fourth proportional to 12,295.97, 18,443.96 and 5,271.42 is: 7,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.97 : 18,443.96 = 5,271.42 : x
  2. Step 2: Convert to fraction form
    12,295.97/18,443.96 = 5,271.42/x
  3. Step 3: Cross multiply
    12,295.97x = 18,443.96 × 5,271.42
  4. Step 4: Simplify right side
    12,295.97x = 97,225,833.27
  5. Step 5: Solve for x
    x = 97,225,833.27/12,295.97
  6. Step 6: Final answer
    x = 7,907.13

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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.