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Finding the Fourth Proportional to 24,921.64, 37,382.22 and 8,282.89

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Solution

The fourth proportional to 24,921.64, 37,382.22 and 8,282.89 is: 12,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,921.64 : 37,382.22 = 8,282.89 : x
  2. Step 2: Convert to fraction form
    24,921.64/37,382.22 = 8,282.89/x
  3. Step 3: Cross multiply
    24,921.64x = 37,382.22 × 8,282.89
  4. Step 4: Simplify right side
    24,921.64x = 309,632,816.22
  5. Step 5: Solve for x
    x = 309,632,816.22/24,921.64
  6. Step 6: Final answer
    x = 12,424.26

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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.