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Finding the Fourth Proportional to 13,649.05, 20,440.69 and 7,787.89

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Solution

The fourth proportional to 13,649.05, 20,440.69 and 7,787.89 is: 11,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.05 : 20,440.69 = 7,787.89 : x
  2. Step 2: Convert to fraction form
    13,649.05/20,440.69 = 7,787.89/x
  3. Step 3: Cross multiply
    13,649.05x = 20,440.69 × 7,787.89
  4. Step 4: Simplify right side
    13,649.05x = 159,189,845.24
  5. Step 5: Solve for x
    x = 159,189,845.24/13,649.05
  6. Step 6: Final answer
    x = 11,663.07

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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.