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Finding the Fourth Proportional to 14,856.59, 20,502.16 and 8,142.27

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Solution

The fourth proportional to 14,856.59, 20,502.16 and 8,142.27 is: 11,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.59 : 20,502.16 = 8,142.27 : x
  2. Step 2: Convert to fraction form
    14,856.59/20,502.16 = 8,142.27/x
  3. Step 3: Cross multiply
    14,856.59x = 20,502.16 × 8,142.27
  4. Step 4: Simplify right side
    14,856.59x = 166,934,122.30
  5. Step 5: Solve for x
    x = 166,934,122.30/14,856.59
  6. Step 6: Final answer
    x = 11,236.37

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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.