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Finding the Fourth Proportional to 13,431.42, 20,154.42 and 5,640.03

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Solution

The fourth proportional to 13,431.42, 20,154.42 and 5,640.03 is: 8,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.42 : 20,154.42 = 5,640.03 : x
  2. Step 2: Convert to fraction form
    13,431.42/20,154.42 = 5,640.03/x
  3. Step 3: Cross multiply
    13,431.42x = 20,154.42 × 5,640.03
  4. Step 4: Simplify right side
    13,431.42x = 113,671,533.43
  5. Step 5: Solve for x
    x = 113,671,533.43/13,431.42
  6. Step 6: Final answer
    x = 8,463.11

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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.