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Finding the Fourth Proportional to 16,902.27, 23,331.95 and 10,193.65

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Solution

The fourth proportional to 16,902.27, 23,331.95 and 10,193.65 is: 14,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.27 : 23,331.95 = 10,193.65 : x
  2. Step 2: Convert to fraction form
    16,902.27/23,331.95 = 10,193.65/x
  3. Step 3: Cross multiply
    16,902.27x = 23,331.95 × 10,193.65
  4. Step 4: Simplify right side
    16,902.27x = 237,837,661.05
  5. Step 5: Solve for x
    x = 237,837,661.05/16,902.27
  6. Step 6: Final answer
    x = 14,071.34

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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.