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Finding the Fourth Proportional to 22,667.84, 34,007.68 and 7,084.80

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Solution

The fourth proportional to 22,667.84, 34,007.68 and 7,084.80 is: 10,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.84 : 34,007.68 = 7,084.80 : x
  2. Step 2: Convert to fraction form
    22,667.84/34,007.68 = 7,084.80/x
  3. Step 3: Cross multiply
    22,667.84x = 34,007.68 × 7,084.80
  4. Step 4: Simplify right side
    22,667.84x = 240,937,611.26
  5. Step 5: Solve for x
    x = 240,937,611.26/22,667.84
  6. Step 6: Final answer
    x = 10,629.05

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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.