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Finding the Fourth Proportional to 14,826.92, 20,462.64 and 8,857.76

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Solution

The fourth proportional to 14,826.92, 20,462.64 and 8,857.76 is: 12,224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826.92 : 20,462.64 = 8,857.76 : x
  2. Step 2: Convert to fraction form
    14,826.92/20,462.64 = 8,857.76/x
  3. Step 3: Cross multiply
    14,826.92x = 20,462.64 × 8,857.76
  4. Step 4: Simplify right side
    14,826.92x = 181,253,154.09
  5. Step 5: Solve for x
    x = 181,253,154.09/14,826.92
  6. Step 6: Final answer
    x = 12,224.60

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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.