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Finding the Fourth Proportional to 25,525.95, 38,288.93 and 7,997.15

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Solution

The fourth proportional to 25,525.95, 38,288.93 and 7,997.15 is: 11,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525.95 : 38,288.93 = 7,997.15 : x
  2. Step 2: Convert to fraction form
    25,525.95/38,288.93 = 7,997.15/x
  3. Step 3: Cross multiply
    25,525.95x = 38,288.93 × 7,997.15
  4. Step 4: Simplify right side
    25,525.95x = 306,202,085.12
  5. Step 5: Solve for x
    x = 306,202,085.12/25,525.95
  6. Step 6: Final answer
    x = 11,995.72

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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.