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Finding the Fourth Proportional to 12,645.96, 18,953.40 and 8,949.24

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Solution

The fourth proportional to 12,645.96, 18,953.40 and 8,949.24 is: 13,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.96 : 18,953.40 = 8,949.24 : x
  2. Step 2: Convert to fraction form
    12,645.96/18,953.40 = 8,949.24/x
  3. Step 3: Cross multiply
    12,645.96x = 18,953.40 × 8,949.24
  4. Step 4: Simplify right side
    12,645.96x = 169,618,525.42
  5. Step 5: Solve for x
    x = 169,618,525.42/12,645.96
  6. Step 6: Final answer
    x = 13,412.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.