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Finding the Fourth Proportional to 13,474.08, 18,591.12 and 7,884

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Solution

The fourth proportional to 13,474.08, 18,591.12 and 7,884 is: 10,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.08 : 18,591.12 = 7,884 : x
  2. Step 2: Convert to fraction form
    13,474.08/18,591.12 = 7,884/x
  3. Step 3: Cross multiply
    13,474.08x = 18,591.12 × 7,884
  4. Step 4: Simplify right side
    13,474.08x = 146,572,390.08
  5. Step 5: Solve for x
    x = 146,572,390.08/13,474.08
  6. Step 6: Final answer
    x = 10,878.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.