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Finding the Fourth Proportional to 15,881.42, 21,919.21 and 9,166.11

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Solution

The fourth proportional to 15,881.42, 21,919.21 and 9,166.11 is: 12,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.42 : 21,919.21 = 9,166.11 : x
  2. Step 2: Convert to fraction form
    15,881.42/21,919.21 = 9,166.11/x
  3. Step 3: Cross multiply
    15,881.42x = 21,919.21 × 9,166.11
  4. Step 4: Simplify right side
    15,881.42x = 200,913,889.97
  5. Step 5: Solve for x
    x = 200,913,889.97/15,881.42
  6. Step 6: Final answer
    x = 12,650.88

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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.