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Finding the Fourth Proportional to 15,687.60, 21,648.36 and 8,517.12

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Solution

The fourth proportional to 15,687.60, 21,648.36 and 8,517.12 is: 11,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.60 : 21,648.36 = 8,517.12 : x
  2. Step 2: Convert to fraction form
    15,687.60/21,648.36 = 8,517.12/x
  3. Step 3: Cross multiply
    15,687.60x = 21,648.36 × 8,517.12
  4. Step 4: Simplify right side
    15,687.60x = 184,381,679.92
  5. Step 5: Solve for x
    x = 184,381,679.92/15,687.60
  6. Step 6: Final answer
    x = 11,753.34

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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.