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Finding the Fourth Proportional to 19,809.50, 27,337.66 and 11,426.54

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Solution

The fourth proportional to 19,809.50, 27,337.66 and 11,426.54 is: 15,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809.50 : 27,337.66 = 11,426.54 : x
  2. Step 2: Convert to fraction form
    19,809.50/27,337.66 = 11,426.54/x
  3. Step 3: Cross multiply
    19,809.50x = 27,337.66 × 11,426.54
  4. Step 4: Simplify right side
    19,809.50x = 312,374,865.50
  5. Step 5: Solve for x
    x = 312,374,865.50/19,809.50
  6. Step 6: Final answer
    x = 15,768.94

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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.