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Finding the Fourth Proportional to 16,809.39, 23,191.79 and 9,734.45

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Solution

The fourth proportional to 16,809.39, 23,191.79 and 9,734.45 is: 13,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.39 : 23,191.79 = 9,734.45 : x
  2. Step 2: Convert to fraction form
    16,809.39/23,191.79 = 9,734.45/x
  3. Step 3: Cross multiply
    16,809.39x = 23,191.79 × 9,734.45
  4. Step 4: Simplify right side
    16,809.39x = 225,759,155.53
  5. Step 5: Solve for x
    x = 225,759,155.53/16,809.39
  6. Step 6: Final answer
    x = 13,430.54

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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.