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Finding the Fourth Proportional to 14,480.42, 19,983.03 and 8,107.28

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Solution

The fourth proportional to 14,480.42, 19,983.03 and 8,107.28 is: 11,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.42 : 19,983.03 = 8,107.28 : x
  2. Step 2: Convert to fraction form
    14,480.42/19,983.03 = 8,107.28/x
  3. Step 3: Cross multiply
    14,480.42x = 19,983.03 × 8,107.28
  4. Step 4: Simplify right side
    14,480.42x = 162,007,964.08
  5. Step 5: Solve for x
    x = 162,007,964.08/14,480.42
  6. Step 6: Final answer
    x = 11,188.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.