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Finding the Fourth Proportional to 24,631.77, 36,952.78 and 7,992.12

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Solution

The fourth proportional to 24,631.77, 36,952.78 and 7,992.12 is: 11,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,631.77 : 36,952.78 = 7,992.12 : x
  2. Step 2: Convert to fraction form
    24,631.77/36,952.78 = 7,992.12/x
  3. Step 3: Cross multiply
    24,631.77x = 36,952.78 × 7,992.12
  4. Step 4: Simplify right side
    24,631.77x = 295,331,000.29
  5. Step 5: Solve for x
    x = 295,331,000.29/24,631.77
  6. Step 6: Final answer
    x = 11,989.84

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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.