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Finding the Fourth Proportional to 13,656.72, 20,468.06 and 5,856.42

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Solution

The fourth proportional to 13,656.72, 20,468.06 and 5,856.42 is: 8,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.72 : 20,468.06 = 5,856.42 : x
  2. Step 2: Convert to fraction form
    13,656.72/20,468.06 = 5,856.42/x
  3. Step 3: Cross multiply
    13,656.72x = 20,468.06 × 5,856.42
  4. Step 4: Simplify right side
    13,656.72x = 119,869,555.95
  5. Step 5: Solve for x
    x = 119,869,555.95/13,656.72
  6. Step 6: Final answer
    x = 8,777.33

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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.