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Finding the Fourth Proportional to 24,642.52, 36,964.05 and 7,112.50

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Solution

The fourth proportional to 24,642.52, 36,964.05 and 7,112.50 is: 10,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.52 : 36,964.05 = 7,112.50 : x
  2. Step 2: Convert to fraction form
    24,642.52/36,964.05 = 7,112.50/x
  3. Step 3: Cross multiply
    24,642.52x = 36,964.05 × 7,112.50
  4. Step 4: Simplify right side
    24,642.52x = 262,906,805.63
  5. Step 5: Solve for x
    x = 262,906,805.63/24,642.52
  6. Step 6: Final answer
    x = 10,668.83

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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.