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Finding the Fourth Proportional to 24,824.80, 37,215.06 and 9,231.76

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Solution

The fourth proportional to 24,824.80, 37,215.06 and 9,231.76 is: 13,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.80 : 37,215.06 = 9,231.76 : x
  2. Step 2: Convert to fraction form
    24,824.80/37,215.06 = 9,231.76/x
  3. Step 3: Cross multiply
    24,824.80x = 37,215.06 × 9,231.76
  4. Step 4: Simplify right side
    24,824.80x = 343,560,502.31
  5. Step 5: Solve for x
    x = 343,560,502.31/24,824.80
  6. Step 6: Final answer
    x = 13,839.41

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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.