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Finding the Fourth Proportional to 16,513.66, 22,793.10 and 10,222.36

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Solution

The fourth proportional to 16,513.66, 22,793.10 and 10,222.36 is: 14,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.66 : 22,793.10 = 10,222.36 : x
  2. Step 2: Convert to fraction form
    16,513.66/22,793.10 = 10,222.36/x
  3. Step 3: Cross multiply
    16,513.66x = 22,793.10 × 10,222.36
  4. Step 4: Simplify right side
    16,513.66x = 232,999,273.72
  5. Step 5: Solve for x
    x = 232,999,273.72/16,513.66
  6. Step 6: Final answer
    x = 14,109.49

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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.