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Finding the Fourth Proportional to 22,161.69, 30,574.13 and 14,208.57

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Solution

The fourth proportional to 22,161.69, 30,574.13 and 14,208.57 is: 19,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.69 : 30,574.13 = 14,208.57 : x
  2. Step 2: Convert to fraction form
    22,161.69/30,574.13 = 14,208.57/x
  3. Step 3: Cross multiply
    22,161.69x = 30,574.13 × 14,208.57
  4. Step 4: Simplify right side
    22,161.69x = 434,414,595.25
  5. Step 5: Solve for x
    x = 434,414,595.25/22,161.69
  6. Step 6: Final answer
    x = 19,602.05

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