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Finding the Fourth Proportional to 13,434.46, 20,143.05 and 6,410.68

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Solution

The fourth proportional to 13,434.46, 20,143.05 and 6,410.68 is: 9,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.46 : 20,143.05 = 6,410.68 : x
  2. Step 2: Convert to fraction form
    13,434.46/20,143.05 = 6,410.68/x
  3. Step 3: Cross multiply
    13,434.46x = 20,143.05 × 6,410.68
  4. Step 4: Simplify right side
    13,434.46x = 129,130,647.77
  5. Step 5: Solve for x
    x = 129,130,647.77/13,434.46
  6. Step 6: Final answer
    x = 9,611.90

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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.