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Finding the Fourth Proportional to 24,529.65, 36,797.81 and 7,884.15

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Solution

The fourth proportional to 24,529.65, 36,797.81 and 7,884.15 is: 11,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.65 : 36,797.81 = 7,884.15 : x
  2. Step 2: Convert to fraction form
    24,529.65/36,797.81 = 7,884.15/x
  3. Step 3: Cross multiply
    24,529.65x = 36,797.81 × 7,884.15
  4. Step 4: Simplify right side
    24,529.65x = 290,119,414.29
  5. Step 5: Solve for x
    x = 290,119,414.29/24,529.65
  6. Step 6: Final answer
    x = 11,827.30

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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.