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Finding the Fourth Proportional to 16,204.45, 22,355.56 and 9,920.47

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Solution

The fourth proportional to 16,204.45, 22,355.56 and 9,920.47 is: 13,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.45 : 22,355.56 = 9,920.47 : x
  2. Step 2: Convert to fraction form
    16,204.45/22,355.56 = 9,920.47/x
  3. Step 3: Cross multiply
    16,204.45x = 22,355.56 × 9,920.47
  4. Step 4: Simplify right side
    16,204.45x = 221,777,662.31
  5. Step 5: Solve for x
    x = 221,777,662.31/16,204.45
  6. Step 6: Final answer
    x = 13,686.22

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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.