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Finding the Fourth Proportional to 12,925.23, 17,832.14 and 8,451.56

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Solution

The fourth proportional to 12,925.23, 17,832.14 and 8,451.56 is: 11,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.23 : 17,832.14 = 8,451.56 : x
  2. Step 2: Convert to fraction form
    12,925.23/17,832.14 = 8,451.56/x
  3. Step 3: Cross multiply
    12,925.23x = 17,832.14 × 8,451.56
  4. Step 4: Simplify right side
    12,925.23x = 150,709,360.58
  5. Step 5: Solve for x
    x = 150,709,360.58/12,925.23
  6. Step 6: Final answer
    x = 11,660.09

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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.