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Finding the Fourth Proportional to 24,687.84, 37,033.80 and 8,047.56

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Solution

The fourth proportional to 24,687.84, 37,033.80 and 8,047.56 is: 12,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,687.84 : 37,033.80 = 8,047.56 : x
  2. Step 2: Convert to fraction form
    24,687.84/37,033.80 = 8,047.56/x
  3. Step 3: Cross multiply
    24,687.84x = 37,033.80 × 8,047.56
  4. Step 4: Simplify right side
    24,687.84x = 298,031,727.53
  5. Step 5: Solve for x
    x = 298,031,727.53/24,687.84
  6. Step 6: Final answer
    x = 12,072.00

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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.