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Finding the Fourth Proportional to 24,008.24, 36,008.01 and 6,473.97

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Solution

The fourth proportional to 24,008.24, 36,008.01 and 6,473.97 is: 9,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.24 : 36,008.01 = 6,473.97 : x
  2. Step 2: Convert to fraction form
    24,008.24/36,008.01 = 6,473.97/x
  3. Step 3: Cross multiply
    24,008.24x = 36,008.01 × 6,473.97
  4. Step 4: Simplify right side
    24,008.24x = 233,114,776.50
  5. Step 5: Solve for x
    x = 233,114,776.50/24,008.24
  6. Step 6: Final answer
    x = 9,709.78

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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.