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Finding the Fourth Proportional to 16,021.91, 24,037.25 and 7,708.88

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Solution

The fourth proportional to 16,021.91, 24,037.25 and 7,708.88 is: 11,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.91 : 24,037.25 = 7,708.88 : x
  2. Step 2: Convert to fraction form
    16,021.91/24,037.25 = 7,708.88/x
  3. Step 3: Cross multiply
    16,021.91x = 24,037.25 × 7,708.88
  4. Step 4: Simplify right side
    16,021.91x = 185,300,117.05
  5. Step 5: Solve for x
    x = 185,300,117.05/16,021.91
  6. Step 6: Final answer
    x = 11,565.42

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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.