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Finding the Fourth Proportional to 16,192.80, 22,338 and 10,887.84

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Solution

The fourth proportional to 16,192.80, 22,338 and 10,887.84 is: 15,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.80 : 22,338 = 10,887.84 : x
  2. Step 2: Convert to fraction form
    16,192.80/22,338 = 10,887.84/x
  3. Step 3: Cross multiply
    16,192.80x = 22,338 × 10,887.84
  4. Step 4: Simplify right side
    16,192.80x = 243,212,569.92
  5. Step 5: Solve for x
    x = 243,212,569.92/16,192.80
  6. Step 6: Final answer
    x = 15,019.80

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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.