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Finding the Fourth Proportional to 16,098.50, 24,149.82 and 5,710.34

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Solution

The fourth proportional to 16,098.50, 24,149.82 and 5,710.34 is: 8,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.50 : 24,149.82 = 5,710.34 : x
  2. Step 2: Convert to fraction form
    16,098.50/24,149.82 = 5,710.34/x
  3. Step 3: Cross multiply
    16,098.50x = 24,149.82 × 5,710.34
  4. Step 4: Simplify right side
    16,098.50x = 137,903,683.14
  5. Step 5: Solve for x
    x = 137,903,683.14/16,098.50
  6. Step 6: Final answer
    x = 8,566.24

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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.