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Finding the Fourth Proportional to 24,513.71, 36,764.48 and 6,983.69

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Solution

The fourth proportional to 24,513.71, 36,764.48 and 6,983.69 is: 10,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.71 : 36,764.48 = 6,983.69 : x
  2. Step 2: Convert to fraction form
    24,513.71/36,764.48 = 6,983.69/x
  3. Step 3: Cross multiply
    24,513.71x = 36,764.48 × 6,983.69
  4. Step 4: Simplify right side
    24,513.71x = 256,751,564.97
  5. Step 5: Solve for x
    x = 256,751,564.97/24,513.71
  6. Step 6: Final answer
    x = 10,473.80

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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.