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Finding the Fourth Proportional to 16,182.96, 24,282.72 and 11,776.92

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Solution

The fourth proportional to 16,182.96, 24,282.72 and 11,776.92 is: 17,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.96 : 24,282.72 = 11,776.92 : x
  2. Step 2: Convert to fraction form
    16,182.96/24,282.72 = 11,776.92/x
  3. Step 3: Cross multiply
    16,182.96x = 24,282.72 × 11,776.92
  4. Step 4: Simplify right side
    16,182.96x = 285,975,650.82
  5. Step 5: Solve for x
    x = 285,975,650.82/16,182.96
  6. Step 6: Final answer
    x = 17,671.41

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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.