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Finding the Fourth Proportional to 15,712.14, 21,682.98 and 8,638.50

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Solution

The fourth proportional to 15,712.14, 21,682.98 and 8,638.50 is: 11,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.14 : 21,682.98 = 8,638.50 : x
  2. Step 2: Convert to fraction form
    15,712.14/21,682.98 = 8,638.50/x
  3. Step 3: Cross multiply
    15,712.14x = 21,682.98 × 8,638.50
  4. Step 4: Simplify right side
    15,712.14x = 187,308,422.73
  5. Step 5: Solve for x
    x = 187,308,422.73/15,712.14
  6. Step 6: Final answer
    x = 11,921.25

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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.