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Finding the Fourth Proportional to 14,797.50, 22,203.14 and 6,476.42

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Solution

The fourth proportional to 14,797.50, 22,203.14 and 6,476.42 is: 9,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.50 : 22,203.14 = 6,476.42 : x
  2. Step 2: Convert to fraction form
    14,797.50/22,203.14 = 6,476.42/x
  3. Step 3: Cross multiply
    14,797.50x = 22,203.14 × 6,476.42
  4. Step 4: Simplify right side
    14,797.50x = 143,796,716.56
  5. Step 5: Solve for x
    x = 143,796,716.56/14,797.50
  6. Step 6: Final answer
    x = 9,717.64

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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.