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Finding the Fourth Proportional to 12,380.50, 17,084.82 and 7,002.23

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Solution

The fourth proportional to 12,380.50, 17,084.82 and 7,002.23 is: 9,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.50 : 17,084.82 = 7,002.23 : x
  2. Step 2: Convert to fraction form
    12,380.50/17,084.82 = 7,002.23/x
  3. Step 3: Cross multiply
    12,380.50x = 17,084.82 × 7,002.23
  4. Step 4: Simplify right side
    12,380.50x = 119,631,718.71
  5. Step 5: Solve for x
    x = 119,631,718.71/12,380.50
  6. Step 6: Final answer
    x = 9,662.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.