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Finding the Fourth Proportional to 16,575.72, 24,863.42 and 7,805.84

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Solution

The fourth proportional to 16,575.72, 24,863.42 and 7,805.84 is: 11,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.72 : 24,863.42 = 7,805.84 : x
  2. Step 2: Convert to fraction form
    16,575.72/24,863.42 = 7,805.84/x
  3. Step 3: Cross multiply
    16,575.72x = 24,863.42 × 7,805.84
  4. Step 4: Simplify right side
    16,575.72x = 194,079,878.37
  5. Step 5: Solve for x
    x = 194,079,878.37/16,575.72
  6. Step 6: Final answer
    x = 11,708.68

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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.