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Finding the Fourth Proportional to 13,902.30, 19,183.05 and 7,934.40

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Solution

The fourth proportional to 13,902.30, 19,183.05 and 7,934.40 is: 10,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.30 : 19,183.05 = 7,934.40 : x
  2. Step 2: Convert to fraction form
    13,902.30/19,183.05 = 7,934.40/x
  3. Step 3: Cross multiply
    13,902.30x = 19,183.05 × 7,934.40
  4. Step 4: Simplify right side
    13,902.30x = 152,205,991.92
  5. Step 5: Solve for x
    x = 152,205,991.92/13,902.30
  6. Step 6: Final answer
    x = 10,948.26

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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.