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Finding the Fourth Proportional to 16,125.77, 24,177.67 and 8,208.83

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Solution

The fourth proportional to 16,125.77, 24,177.67 and 8,208.83 is: 12,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.77 : 24,177.67 = 8,208.83 : x
  2. Step 2: Convert to fraction form
    16,125.77/24,177.67 = 8,208.83/x
  3. Step 3: Cross multiply
    16,125.77x = 24,177.67 × 8,208.83
  4. Step 4: Simplify right side
    16,125.77x = 198,470,241.42
  5. Step 5: Solve for x
    x = 198,470,241.42/16,125.77
  6. Step 6: Final answer
    x = 12,307.65

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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.