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Finding the Fourth Proportional to 16,199.31, 22,341.83 and 13,602.23

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Solution

The fourth proportional to 16,199.31, 22,341.83 and 13,602.23 is: 18,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.31 : 22,341.83 = 13,602.23 : x
  2. Step 2: Convert to fraction form
    16,199.31/22,341.83 = 13,602.23/x
  3. Step 3: Cross multiply
    16,199.31x = 22,341.83 × 13,602.23
  4. Step 4: Simplify right side
    16,199.31x = 303,898,632.58
  5. Step 5: Solve for x
    x = 303,898,632.58/16,199.31
  6. Step 6: Final answer
    x = 18,759.97

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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.