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Finding the Fourth Proportional to 24,382.24, 36,573.40 and 5,914.24

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Solution

The fourth proportional to 24,382.24, 36,573.40 and 5,914.24 is: 8,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.24 : 36,573.40 = 5,914.24 : x
  2. Step 2: Convert to fraction form
    24,382.24/36,573.40 = 5,914.24/x
  3. Step 3: Cross multiply
    24,382.24x = 36,573.40 × 5,914.24
  4. Step 4: Simplify right side
    24,382.24x = 216,303,865.22
  5. Step 5: Solve for x
    x = 216,303,865.22/24,382.24
  6. Step 6: Final answer
    x = 8,871.37

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1.5x scale

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.