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Finding the Fourth Proportional to 15,960.16, 23,913.84 and 8,158.24

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Solution

The fourth proportional to 15,960.16, 23,913.84 and 8,158.24 is: 12,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.16 : 23,913.84 = 8,158.24 : x
  2. Step 2: Convert to fraction form
    15,960.16/23,913.84 = 8,158.24/x
  3. Step 3: Cross multiply
    15,960.16x = 23,913.84 × 8,158.24
  4. Step 4: Simplify right side
    15,960.16x = 195,094,846.04
  5. Step 5: Solve for x
    x = 195,094,846.04/15,960.16
  6. Step 6: Final answer
    x = 12,223.87

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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.