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Finding the Fourth Proportional to 16,189.96, 22,343.16 and 9,821.02

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Solution

The fourth proportional to 16,189.96, 22,343.16 and 9,821.02 is: 13,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.96 : 22,343.16 = 9,821.02 : x
  2. Step 2: Convert to fraction form
    16,189.96/22,343.16 = 9,821.02/x
  3. Step 3: Cross multiply
    16,189.96x = 22,343.16 × 9,821.02
  4. Step 4: Simplify right side
    16,189.96x = 219,432,621.22
  5. Step 5: Solve for x
    x = 219,432,621.22/16,189.96
  6. Step 6: Final answer
    x = 13,553.62

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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.