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Finding the Fourth Proportional to 13,664.89, 20,478.40 and 7,809.13

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Solution

The fourth proportional to 13,664.89, 20,478.40 and 7,809.13 is: 11,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.89 : 20,478.40 = 7,809.13 : x
  2. Step 2: Convert to fraction form
    13,664.89/20,478.40 = 7,809.13/x
  3. Step 3: Cross multiply
    13,664.89x = 20,478.40 × 7,809.13
  4. Step 4: Simplify right side
    13,664.89x = 159,918,487.79
  5. Step 5: Solve for x
    x = 159,918,487.79/13,664.89
  6. Step 6: Final answer
    x = 11,702.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.