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Finding the Fourth Proportional to 14,709.56, 20,299.14 and 8,421.92

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Solution

The fourth proportional to 14,709.56, 20,299.14 and 8,421.92 is: 11,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.56 : 20,299.14 = 8,421.92 : x
  2. Step 2: Convert to fraction form
    14,709.56/20,299.14 = 8,421.92/x
  3. Step 3: Cross multiply
    14,709.56x = 20,299.14 × 8,421.92
  4. Step 4: Simplify right side
    14,709.56x = 170,957,733.15
  5. Step 5: Solve for x
    x = 170,957,733.15/14,709.56
  6. Step 6: Final answer
    x = 11,622.22

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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.