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Finding the Fourth Proportional to 13,400.32, 20,086.16 and 7,156.48

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Solution

The fourth proportional to 13,400.32, 20,086.16 and 7,156.48 is: 10,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.32 : 20,086.16 = 7,156.48 : x
  2. Step 2: Convert to fraction form
    13,400.32/20,086.16 = 7,156.48/x
  3. Step 3: Cross multiply
    13,400.32x = 20,086.16 × 7,156.48
  4. Step 4: Simplify right side
    13,400.32x = 143,746,202.32
  5. Step 5: Solve for x
    x = 143,746,202.32/13,400.32
  6. Step 6: Final answer
    x = 10,727.07

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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.