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Finding the Fourth Proportional to 24,012, 36,008.82 and 11,528.46

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Solution

The fourth proportional to 24,012, 36,008.82 and 11,528.46 is: 17,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012 : 36,008.82 = 11,528.46 : x
  2. Step 2: Convert to fraction form
    24,012/36,008.82 = 11,528.46/x
  3. Step 3: Cross multiply
    24,012x = 36,008.82 × 11,528.46
  4. Step 4: Simplify right side
    24,012x = 415,126,241.02
  5. Step 5: Solve for x
    x = 415,126,241.02/24,012
  6. Step 6: Final answer
    x = 17,288.28

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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.