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Finding the Fourth Proportional to 22,193.30, 30,624 and 12,634.42

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Solution

The fourth proportional to 22,193.30, 30,624 and 12,634.42 is: 17,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,193.30 : 30,624 = 12,634.42 : x
  2. Step 2: Convert to fraction form
    22,193.30/30,624 = 12,634.42/x
  3. Step 3: Cross multiply
    22,193.30x = 30,624 × 12,634.42
  4. Step 4: Simplify right side
    22,193.30x = 386,916,478.08
  5. Step 5: Solve for x
    x = 386,916,478.08/22,193.30
  6. Step 6: Final answer
    x = 17,433.93

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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.