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Finding the Fourth Proportional to 22,792.84, 34,184.92 and 9,654.43

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Solution

The fourth proportional to 22,792.84, 34,184.92 and 9,654.43 is: 14,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.84 : 34,184.92 = 9,654.43 : x
  2. Step 2: Convert to fraction form
    22,792.84/34,184.92 = 9,654.43/x
  3. Step 3: Cross multiply
    22,792.84x = 34,184.92 × 9,654.43
  4. Step 4: Simplify right side
    22,792.84x = 330,035,917.20
  5. Step 5: Solve for x
    x = 330,035,917.20/22,792.84
  6. Step 6: Final answer
    x = 14,479.81

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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.