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Finding the Fourth Proportional to 14,475.96, 19,974.24 and 8,508.82

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Solution

The fourth proportional to 14,475.96, 19,974.24 and 8,508.82 is: 11,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.96 : 19,974.24 = 8,508.82 : x
  2. Step 2: Convert to fraction form
    14,475.96/19,974.24 = 8,508.82/x
  3. Step 3: Cross multiply
    14,475.96x = 19,974.24 × 8,508.82
  4. Step 4: Simplify right side
    14,475.96x = 169,957,212.80
  5. Step 5: Solve for x
    x = 169,957,212.80/14,475.96
  6. Step 6: Final answer
    x = 11,740.65

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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.