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Finding the Fourth Proportional to 24,961.07, 37,448.72 and 8,332

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Solution

The fourth proportional to 24,961.07, 37,448.72 and 8,332 is: 12,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961.07 : 37,448.72 = 8,332 : x
  2. Step 2: Convert to fraction form
    24,961.07/37,448.72 = 8,332/x
  3. Step 3: Cross multiply
    24,961.07x = 37,448.72 × 8,332
  4. Step 4: Simplify right side
    24,961.07x = 312,022,735.04
  5. Step 5: Solve for x
    x = 312,022,735.04/24,961.07
  6. Step 6: Final answer
    x = 12,500.37

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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.