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Finding the Fourth Proportional to 22,162.01, 30,574.19 and 14,201.69

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Solution

The fourth proportional to 22,162.01, 30,574.19 and 14,201.69 is: 19,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162.01 : 30,574.19 = 14,201.69 : x
  2. Step 2: Convert to fraction form
    22,162.01/30,574.19 = 14,201.69/x
  3. Step 3: Cross multiply
    22,162.01x = 30,574.19 × 14,201.69
  4. Step 4: Simplify right side
    22,162.01x = 434,205,097.37
  5. Step 5: Solve for x
    x = 434,205,097.37/22,162.01
  6. Step 6: Final answer
    x = 19,592.32

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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.