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Finding the Fourth Proportional to 21,502.91, 32,223.10 and 9,480.43

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Solution

The fourth proportional to 21,502.91, 32,223.10 and 9,480.43 is: 14,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.91 : 32,223.10 = 9,480.43 : x
  2. Step 2: Convert to fraction form
    21,502.91/32,223.10 = 9,480.43/x
  3. Step 3: Cross multiply
    21,502.91x = 32,223.10 × 9,480.43
  4. Step 4: Simplify right side
    21,502.91x = 305,488,843.93
  5. Step 5: Solve for x
    x = 305,488,843.93/21,502.91
  6. Step 6: Final answer
    x = 14,206.86

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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.