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Finding the Fourth Proportional to 24,632.56, 36,952.32 and 7,987

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Solution

The fourth proportional to 24,632.56, 36,952.32 and 7,987 is: 11,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.56 : 36,952.32 = 7,987 : x
  2. Step 2: Convert to fraction form
    24,632.56/36,952.32 = 7,987/x
  3. Step 3: Cross multiply
    24,632.56x = 36,952.32 × 7,987
  4. Step 4: Simplify right side
    24,632.56x = 295,138,179.84
  5. Step 5: Solve for x
    x = 295,138,179.84/24,632.56
  6. Step 6: Final answer
    x = 11,981.63

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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.