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Finding the Fourth Proportional to 16,342.94, 24,514.68 and 7,904.54

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Solution

The fourth proportional to 16,342.94, 24,514.68 and 7,904.54 is: 11,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.94 : 24,514.68 = 7,904.54 : x
  2. Step 2: Convert to fraction form
    16,342.94/24,514.68 = 7,904.54/x
  3. Step 3: Cross multiply
    16,342.94x = 24,514.68 × 7,904.54
  4. Step 4: Simplify right side
    16,342.94x = 193,777,268.65
  5. Step 5: Solve for x
    x = 193,777,268.65/16,342.94
  6. Step 6: Final answer
    x = 11,856.94

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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.