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Finding the Fourth Proportional to 13,589.50, 20,380.88 and 7,669.02

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Solution

The fourth proportional to 13,589.50, 20,380.88 and 7,669.02 is: 11,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.50 : 20,380.88 = 7,669.02 : x
  2. Step 2: Convert to fraction form
    13,589.50/20,380.88 = 7,669.02/x
  3. Step 3: Cross multiply
    13,589.50x = 20,380.88 × 7,669.02
  4. Step 4: Simplify right side
    13,589.50x = 156,301,376.34
  5. Step 5: Solve for x
    x = 156,301,376.34/13,589.50
  6. Step 6: Final answer
    x = 11,501.63

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Why These Related Problems?

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