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Finding the Fourth Proportional to 15,682.90, 21,642.42 and 8,512.81

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Solution

The fourth proportional to 15,682.90, 21,642.42 and 8,512.81 is: 11,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.90 : 21,642.42 = 8,512.81 : x
  2. Step 2: Convert to fraction form
    15,682.90/21,642.42 = 8,512.81/x
  3. Step 3: Cross multiply
    15,682.90x = 21,642.42 × 8,512.81
  4. Step 4: Simplify right side
    15,682.90x = 184,237,698.75
  5. Step 5: Solve for x
    x = 184,237,698.75/15,682.90
  6. Step 6: Final answer
    x = 11,747.68

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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.