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Finding the Fourth Proportional to 12,583.22, 17,366.20 and 7,869.02

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Solution

The fourth proportional to 12,583.22, 17,366.20 and 7,869.02 is: 10,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.22 : 17,366.20 = 7,869.02 : x
  2. Step 2: Convert to fraction form
    12,583.22/17,366.20 = 7,869.02/x
  3. Step 3: Cross multiply
    12,583.22x = 17,366.20 × 7,869.02
  4. Step 4: Simplify right side
    12,583.22x = 136,654,868.62
  5. Step 5: Solve for x
    x = 136,654,868.62/12,583.22
  6. Step 6: Final answer
    x = 10,860.09

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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.