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Finding the Fourth Proportional to 22,902.14, 31,608.83 and 13,703.18

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Solution

The fourth proportional to 22,902.14, 31,608.83 and 13,703.18 is: 18,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.14 : 31,608.83 = 13,703.18 : x
  2. Step 2: Convert to fraction form
    22,902.14/31,608.83 = 13,703.18/x
  3. Step 3: Cross multiply
    22,902.14x = 31,608.83 × 13,703.18
  4. Step 4: Simplify right side
    22,902.14x = 433,141,363.29
  5. Step 5: Solve for x
    x = 433,141,363.29/22,902.14
  6. Step 6: Final answer
    x = 18,912.70

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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.