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Finding the Fourth Proportional to 22,859.28, 34,263 and 9,703.44

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Solution

The fourth proportional to 22,859.28, 34,263 and 9,703.44 is: 14,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.28 : 34,263 = 9,703.44 : x
  2. Step 2: Convert to fraction form
    22,859.28/34,263 = 9,703.44/x
  3. Step 3: Cross multiply
    22,859.28x = 34,263 × 9,703.44
  4. Step 4: Simplify right side
    22,859.28x = 332,468,964.72
  5. Step 5: Solve for x
    x = 332,468,964.72/22,859.28
  6. Step 6: Final answer
    x = 14,544.16

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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.