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Finding the Fourth Proportional to 15,930.30, 21,982.28 and 9,214.59

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Solution

The fourth proportional to 15,930.30, 21,982.28 and 9,214.59 is: 12,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.30 : 21,982.28 = 9,214.59 : x
  2. Step 2: Convert to fraction form
    15,930.30/21,982.28 = 9,214.59/x
  3. Step 3: Cross multiply
    15,930.30x = 21,982.28 × 9,214.59
  4. Step 4: Simplify right side
    15,930.30x = 202,557,651.39
  5. Step 5: Solve for x
    x = 202,557,651.39/15,930.30
  6. Step 6: Final answer
    x = 12,715.24

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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.