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Finding the Fourth Proportional to 13,462.08, 18,577.80 and 7,872

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Solution

The fourth proportional to 13,462.08, 18,577.80 and 7,872 is: 10,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.08 : 18,577.80 = 7,872 : x
  2. Step 2: Convert to fraction form
    13,462.08/18,577.80 = 7,872/x
  3. Step 3: Cross multiply
    13,462.08x = 18,577.80 × 7,872
  4. Step 4: Simplify right side
    13,462.08x = 146,244,441.60
  5. Step 5: Solve for x
    x = 146,244,441.60/13,462.08
  6. Step 6: Final answer
    x = 10,863.44

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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.