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Finding the Fourth Proportional to 21,001.96, 31,475.22 and 9,893.44

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Solution

The fourth proportional to 21,001.96, 31,475.22 and 9,893.44 is: 14,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.96 : 31,475.22 = 9,893.44 : x
  2. Step 2: Convert to fraction form
    21,001.96/31,475.22 = 9,893.44/x
  3. Step 3: Cross multiply
    21,001.96x = 31,475.22 × 9,893.44
  4. Step 4: Simplify right side
    21,001.96x = 311,398,200.56
  5. Step 5: Solve for x
    x = 311,398,200.56/21,001.96
  6. Step 6: Final answer
    x = 14,827.10

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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.