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Finding the Fourth Proportional to 15,712.18, 21,682.74 and 8,638.45

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Solution

The fourth proportional to 15,712.18, 21,682.74 and 8,638.45 is: 11,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.18 : 21,682.74 = 8,638.45 : x
  2. Step 2: Convert to fraction form
    15,712.18/21,682.74 = 8,638.45/x
  3. Step 3: Cross multiply
    15,712.18x = 21,682.74 × 8,638.45
  4. Step 4: Simplify right side
    15,712.18x = 187,305,194.95
  5. Step 5: Solve for x
    x = 187,305,194.95/15,712.18
  6. Step 6: Final answer
    x = 11,921.02

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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.