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Finding the Fourth Proportional to 16,122.81, 24,191.15 and 8,337.09

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Solution

The fourth proportional to 16,122.81, 24,191.15 and 8,337.09 is: 12,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,122.81 : 24,191.15 = 8,337.09 : x
  2. Step 2: Convert to fraction form
    16,122.81/24,191.15 = 8,337.09/x
  3. Step 3: Cross multiply
    16,122.81x = 24,191.15 × 8,337.09
  4. Step 4: Simplify right side
    16,122.81x = 201,683,753.07
  5. Step 5: Solve for x
    x = 201,683,753.07/16,122.81
  6. Step 6: Final answer
    x = 12,509.22

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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.