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Finding the Fourth Proportional to 13,468.12, 20,170.84 and 13,000.92

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Solution

The fourth proportional to 13,468.12, 20,170.84 and 13,000.92 is: 19,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.12 : 20,170.84 = 13,000.92 : x
  2. Step 2: Convert to fraction form
    13,468.12/20,170.84 = 13,000.92/x
  3. Step 3: Cross multiply
    13,468.12x = 20,170.84 × 13,000.92
  4. Step 4: Simplify right side
    13,468.12x = 262,239,477.17
  5. Step 5: Solve for x
    x = 262,239,477.17/13,468.12
  6. Step 6: Final answer
    x = 19,471.13

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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.