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Finding the Fourth Proportional to 13,465.89, 20,190.11 and 6,447.15

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Solution

The fourth proportional to 13,465.89, 20,190.11 and 6,447.15 is: 9,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.89 : 20,190.11 = 6,447.15 : x
  2. Step 2: Convert to fraction form
    13,465.89/20,190.11 = 6,447.15/x
  3. Step 3: Cross multiply
    13,465.89x = 20,190.11 × 6,447.15
  4. Step 4: Simplify right side
    13,465.89x = 130,168,635.45
  5. Step 5: Solve for x
    x = 130,168,635.45/13,465.89
  6. Step 6: Final answer
    x = 9,666.55

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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.