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Finding the Fourth Proportional to 13,433.53, 20,154.32 and 5,424.17

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Solution

The fourth proportional to 13,433.53, 20,154.32 and 5,424.17 is: 8,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.53 : 20,154.32 = 5,424.17 : x
  2. Step 2: Convert to fraction form
    13,433.53/20,154.32 = 5,424.17/x
  3. Step 3: Cross multiply
    13,433.53x = 20,154.32 × 5,424.17
  4. Step 4: Simplify right side
    13,433.53x = 109,320,430.79
  5. Step 5: Solve for x
    x = 109,320,430.79/13,433.53
  6. Step 6: Final answer
    x = 8,137.88

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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.