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Finding the Fourth Proportional to 21,057.32, 31,593.95 and 9,818.42

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Solution

The fourth proportional to 21,057.32, 31,593.95 and 9,818.42 is: 14,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.32 : 31,593.95 = 9,818.42 : x
  2. Step 2: Convert to fraction form
    21,057.32/31,593.95 = 9,818.42/x
  3. Step 3: Cross multiply
    21,057.32x = 31,593.95 × 9,818.42
  4. Step 4: Simplify right side
    21,057.32x = 310,202,500.32
  5. Step 5: Solve for x
    x = 310,202,500.32/21,057.32
  6. Step 6: Final answer
    x = 14,731.34

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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.