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Finding the Fourth Proportional to 24,000.25, 35,996.72 and 9,216.13

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Solution

The fourth proportional to 24,000.25, 35,996.72 and 9,216.13 is: 13,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.25 : 35,996.72 = 9,216.13 : x
  2. Step 2: Convert to fraction form
    24,000.25/35,996.72 = 9,216.13/x
  3. Step 3: Cross multiply
    24,000.25x = 35,996.72 × 9,216.13
  4. Step 4: Simplify right side
    24,000.25x = 331,750,451.09
  5. Step 5: Solve for x
    x = 331,750,451.09/24,000.25
  6. Step 6: Final answer
    x = 13,822.79

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1.5x scale

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.