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Finding the Fourth Proportional to 23,143.70, 34,707.16 and 8,348.64

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Solution

The fourth proportional to 23,143.70, 34,707.16 and 8,348.64 is: 12,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.70 : 34,707.16 = 8,348.64 : x
  2. Step 2: Convert to fraction form
    23,143.70/34,707.16 = 8,348.64/x
  3. Step 3: Cross multiply
    23,143.70x = 34,707.16 × 8,348.64
  4. Step 4: Simplify right side
    23,143.70x = 289,757,584.26
  5. Step 5: Solve for x
    x = 289,757,584.26/23,143.70
  6. Step 6: Final answer
    x = 12,519.93

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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.