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Finding the Fourth Proportional to 21,908.16, 32,876.64 and 10,221.84

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Solution

The fourth proportional to 21,908.16, 32,876.64 and 10,221.84 is: 15,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.16 : 32,876.64 = 10,221.84 : x
  2. Step 2: Convert to fraction form
    21,908.16/32,876.64 = 10,221.84/x
  3. Step 3: Cross multiply
    21,908.16x = 32,876.64 × 10,221.84
  4. Step 4: Simplify right side
    21,908.16x = 336,059,753.82
  5. Step 5: Solve for x
    x = 336,059,753.82/21,908.16
  6. Step 6: Final answer
    x = 15,339.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.