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Finding the Fourth Proportional to 16,411.50, 24,596.16 and 7,981.86

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Solution

The fourth proportional to 16,411.50, 24,596.16 and 7,981.86 is: 11,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.50 : 24,596.16 = 7,981.86 : x
  2. Step 2: Convert to fraction form
    16,411.50/24,596.16 = 7,981.86/x
  3. Step 3: Cross multiply
    16,411.50x = 24,596.16 × 7,981.86
  4. Step 4: Simplify right side
    16,411.50x = 196,323,105.66
  5. Step 5: Solve for x
    x = 196,323,105.66/16,411.50
  6. Step 6: Final answer
    x = 11,962.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.