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Finding the Fourth Proportional to 15,682.62, 21,641.54 and 8,512.20

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Solution

The fourth proportional to 15,682.62, 21,641.54 and 8,512.20 is: 11,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.62 : 21,641.54 = 8,512.20 : x
  2. Step 2: Convert to fraction form
    15,682.62/21,641.54 = 8,512.20/x
  3. Step 3: Cross multiply
    15,682.62x = 21,641.54 × 8,512.20
  4. Step 4: Simplify right side
    15,682.62x = 184,217,074.23
  5. Step 5: Solve for x
    x = 184,217,074.23/15,682.62
  6. Step 6: Final answer
    x = 11,746.57

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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.