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Finding the Fourth Proportional to 13,464.79, 20,197.19 and 6,443.15

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Solution

The fourth proportional to 13,464.79, 20,197.19 and 6,443.15 is: 9,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.79 : 20,197.19 = 6,443.15 : x
  2. Step 2: Convert to fraction form
    13,464.79/20,197.19 = 6,443.15/x
  3. Step 3: Cross multiply
    13,464.79x = 20,197.19 × 6,443.15
  4. Step 4: Simplify right side
    13,464.79x = 130,133,492.53
  5. Step 5: Solve for x
    x = 130,133,492.53/13,464.79
  6. Step 6: Final answer
    x = 9,664.73

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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.