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Finding the Fourth Proportional to 15,757.95, 23,645.23 and 6,993.75

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Solution

The fourth proportional to 15,757.95, 23,645.23 and 6,993.75 is: 10,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.95 : 23,645.23 = 6,993.75 : x
  2. Step 2: Convert to fraction form
    15,757.95/23,645.23 = 6,993.75/x
  3. Step 3: Cross multiply
    15,757.95x = 23,645.23 × 6,993.75
  4. Step 4: Simplify right side
    15,757.95x = 165,368,809.83
  5. Step 5: Solve for x
    x = 165,368,809.83/15,757.95
  6. Step 6: Final answer
    x = 10,494.31

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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.