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Finding the Fourth Proportional to 22,792.84, 34,184.91 and 9,654.45

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Solution

The fourth proportional to 22,792.84, 34,184.91 and 9,654.45 is: 14,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.84 : 34,184.91 = 9,654.45 : x
  2. Step 2: Convert to fraction form
    22,792.84/34,184.91 = 9,654.45/x
  3. Step 3: Cross multiply
    22,792.84x = 34,184.91 × 9,654.45
  4. Step 4: Simplify right side
    22,792.84x = 330,036,504.35
  5. Step 5: Solve for x
    x = 330,036,504.35/22,792.84
  6. Step 6: Final answer
    x = 14,479.83

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