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Finding the Fourth Proportional to 23,143.56, 34,716.84 and 9,292.56

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Solution

The fourth proportional to 23,143.56, 34,716.84 and 9,292.56 is: 13,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.56 : 34,716.84 = 9,292.56 : x
  2. Step 2: Convert to fraction form
    23,143.56/34,716.84 = 9,292.56/x
  3. Step 3: Cross multiply
    23,143.56x = 34,716.84 × 9,292.56
  4. Step 4: Simplify right side
    23,143.56x = 322,608,318.71
  5. Step 5: Solve for x
    x = 322,608,318.71/23,143.56
  6. Step 6: Final answer
    x = 13,939.44

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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.