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Finding the Fourth Proportional to 22,184.25, 30,574.17 and 18,387.42

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Solution

The fourth proportional to 22,184.25, 30,574.17 and 18,387.42 is: 25,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.25 : 30,574.17 = 18,387.42 : x
  2. Step 2: Convert to fraction form
    22,184.25/30,574.17 = 18,387.42/x
  3. Step 3: Cross multiply
    22,184.25x = 30,574.17 × 18,387.42
  4. Step 4: Simplify right side
    22,184.25x = 562,180,104.94
  5. Step 5: Solve for x
    x = 562,180,104.94/22,184.25
  6. Step 6: Final answer
    x = 25,341.41

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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.