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Finding the Fourth Proportional to 22,917.94, 34,346.84 and 9,754.02

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Solution

The fourth proportional to 22,917.94, 34,346.84 and 9,754.02 is: 14,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.94 : 34,346.84 = 9,754.02 : x
  2. Step 2: Convert to fraction form
    22,917.94/34,346.84 = 9,754.02/x
  3. Step 3: Cross multiply
    22,917.94x = 34,346.84 × 9,754.02
  4. Step 4: Simplify right side
    22,917.94x = 335,019,715.53
  5. Step 5: Solve for x
    x = 335,019,715.53/22,917.94
  6. Step 6: Final answer
    x = 14,618.23

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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.