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Finding the Fourth Proportional to 16,074.76, 24,115.98 and 6,709.57

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Solution

The fourth proportional to 16,074.76, 24,115.98 and 6,709.57 is: 10,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.76 : 24,115.98 = 6,709.57 : x
  2. Step 2: Convert to fraction form
    16,074.76/24,115.98 = 6,709.57/x
  3. Step 3: Cross multiply
    16,074.76x = 24,115.98 × 6,709.57
  4. Step 4: Simplify right side
    16,074.76x = 161,807,855.93
  5. Step 5: Solve for x
    x = 161,807,855.93/16,074.76
  6. Step 6: Final answer
    x = 10,065.96

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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.