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Finding the Fourth Proportional to 15,712.92, 21,682.78 and 8,639

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Solution

The fourth proportional to 15,712.92, 21,682.78 and 8,639 is: 11,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.92 : 21,682.78 = 8,639 : x
  2. Step 2: Convert to fraction form
    15,712.92/21,682.78 = 8,639/x
  3. Step 3: Cross multiply
    15,712.92x = 21,682.78 × 8,639
  4. Step 4: Simplify right side
    15,712.92x = 187,317,536.42
  5. Step 5: Solve for x
    x = 187,317,536.42/15,712.92
  6. Step 6: Final answer
    x = 11,921.24

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Why These Related Problems?

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