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Finding the Fourth Proportional to 24,382.66, 36,573.99 and 5,914.66

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Solution

The fourth proportional to 24,382.66, 36,573.99 and 5,914.66 is: 8,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.66 : 36,573.99 = 5,914.66 : x
  2. Step 2: Convert to fraction form
    24,382.66/36,573.99 = 5,914.66/x
  3. Step 3: Cross multiply
    24,382.66x = 36,573.99 × 5,914.66
  4. Step 4: Simplify right side
    24,382.66x = 216,322,715.69
  5. Step 5: Solve for x
    x = 216,322,715.69/24,382.66
  6. Step 6: Final answer
    x = 8,871.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.