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Finding the Fourth Proportional to 24,476.82, 36,715.26 and 6,008.82

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Solution

The fourth proportional to 24,476.82, 36,715.26 and 6,008.82 is: 9,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.82 : 36,715.26 = 6,008.82 : x
  2. Step 2: Convert to fraction form
    24,476.82/36,715.26 = 6,008.82/x
  3. Step 3: Cross multiply
    24,476.82x = 36,715.26 × 6,008.82
  4. Step 4: Simplify right side
    24,476.82x = 220,615,388.59
  5. Step 5: Solve for x
    x = 220,615,388.59/24,476.82
  6. Step 6: Final answer
    x = 9,013.24

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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.