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Finding the Fourth Proportional to 22,185, 30,615.28 and 14,227.20

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Solution

The fourth proportional to 22,185, 30,615.28 and 14,227.20 is: 19,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185 : 30,615.28 = 14,227.20 : x
  2. Step 2: Convert to fraction form
    22,185/30,615.28 = 14,227.20/x
  3. Step 3: Cross multiply
    22,185x = 30,615.28 × 14,227.20
  4. Step 4: Simplify right side
    22,185x = 435,569,711.62
  5. Step 5: Solve for x
    x = 435,569,711.62/22,185
  6. Step 6: Final answer
    x = 19,633.52

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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.