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Finding the Fourth Proportional to 22,006.32, 30,366 and 14,053.20

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Solution

The fourth proportional to 22,006.32, 30,366 and 14,053.20 is: 19,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006.32 : 30,366 = 14,053.20 : x
  2. Step 2: Convert to fraction form
    22,006.32/30,366 = 14,053.20/x
  3. Step 3: Cross multiply
    22,006.32x = 30,366 × 14,053.20
  4. Step 4: Simplify right side
    22,006.32x = 426,739,471.20
  5. Step 5: Solve for x
    x = 426,739,471.20/22,006.32
  6. Step 6: Final answer
    x = 19,391.68

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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.