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Finding the Fourth Proportional to 15,712.32, 21,682.06 and 8,638.74

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Solution

The fourth proportional to 15,712.32, 21,682.06 and 8,638.74 is: 11,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.32 : 21,682.06 = 8,638.74 : x
  2. Step 2: Convert to fraction form
    15,712.32/21,682.06 = 8,638.74/x
  3. Step 3: Cross multiply
    15,712.32x = 21,682.06 × 8,638.74
  4. Step 4: Simplify right side
    15,712.32x = 187,305,679.00
  5. Step 5: Solve for x
    x = 187,305,679.00/15,712.32
  6. Step 6: Final answer
    x = 11,920.94

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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.