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Finding the Fourth Proportional to 16,234.21, 24,344.63 and 7,911.87

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Solution

The fourth proportional to 16,234.21, 24,344.63 and 7,911.87 is: 11,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.21 : 24,344.63 = 7,911.87 : x
  2. Step 2: Convert to fraction form
    16,234.21/24,344.63 = 7,911.87/x
  3. Step 3: Cross multiply
    16,234.21x = 24,344.63 × 7,911.87
  4. Step 4: Simplify right side
    16,234.21x = 192,611,547.76
  5. Step 5: Solve for x
    x = 192,611,547.76/16,234.21
  6. Step 6: Final answer
    x = 11,864.55

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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.