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Finding the Fourth Proportional to 15,193.34, 22,790 and 7,793.68

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Solution

The fourth proportional to 15,193.34, 22,790 and 7,793.68 is: 11,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.34 : 22,790 = 7,793.68 : x
  2. Step 2: Convert to fraction form
    15,193.34/22,790 = 7,793.68/x
  3. Step 3: Cross multiply
    15,193.34x = 22,790 × 7,793.68
  4. Step 4: Simplify right side
    15,193.34x = 177,617,967.20
  5. Step 5: Solve for x
    x = 177,617,967.20/15,193.34
  6. Step 6: Final answer
    x = 11,690.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.