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Finding the Fourth Proportional to 24,530.72, 36,790.92 and 7,892.24

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Solution

The fourth proportional to 24,530.72, 36,790.92 and 7,892.24 is: 11,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.72 : 36,790.92 = 7,892.24 : x
  2. Step 2: Convert to fraction form
    24,530.72/36,790.92 = 7,892.24/x
  3. Step 3: Cross multiply
    24,530.72x = 36,790.92 × 7,892.24
  4. Step 4: Simplify right side
    24,530.72x = 290,362,770.46
  5. Step 5: Solve for x
    x = 290,362,770.46/24,530.72
  6. Step 6: Final answer
    x = 11,836.70

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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.