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Finding the Fourth Proportional to 14,856.70, 20,501.49 and 8,141.14

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Solution

The fourth proportional to 14,856.70, 20,501.49 and 8,141.14 is: 11,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,856.70 : 20,501.49 = 8,141.14 : x
  2. Step 2: Convert to fraction form
    14,856.70/20,501.49 = 8,141.14/x
  3. Step 3: Cross multiply
    14,856.70x = 20,501.49 × 8,141.14
  4. Step 4: Simplify right side
    14,856.70x = 166,905,500.30
  5. Step 5: Solve for x
    x = 166,905,500.30/14,856.70
  6. Step 6: Final answer
    x = 11,234.36

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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.