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Finding the Fourth Proportional to 15,712.14, 21,683.31 and 8,639.10

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Solution

The fourth proportional to 15,712.14, 21,683.31 and 8,639.10 is: 11,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.14 : 21,683.31 = 8,639.10 : x
  2. Step 2: Convert to fraction form
    15,712.14/21,683.31 = 8,639.10/x
  3. Step 3: Cross multiply
    15,712.14x = 21,683.31 × 8,639.10
  4. Step 4: Simplify right side
    15,712.14x = 187,324,283.42
  5. Step 5: Solve for x
    x = 187,324,283.42/15,712.14
  6. Step 6: Final answer
    x = 11,922.26

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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.