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Finding the Fourth Proportional to 16,098, 24,149.16 and 6,866.16

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Solution

The fourth proportional to 16,098, 24,149.16 and 6,866.16 is: 10,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098 : 24,149.16 = 6,866.16 : x
  2. Step 2: Convert to fraction form
    16,098/24,149.16 = 6,866.16/x
  3. Step 3: Cross multiply
    16,098x = 24,149.16 × 6,866.16
  4. Step 4: Simplify right side
    16,098x = 165,811,996.43
  5. Step 5: Solve for x
    x = 165,811,996.43/16,098
  6. Step 6: Final answer
    x = 10,300.16

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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.