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Finding the Fourth Proportional to 16,134.57, 24,200.98 and 5,039.98

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Solution

The fourth proportional to 16,134.57, 24,200.98 and 5,039.98 is: 7,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.57 : 24,200.98 = 5,039.98 : x
  2. Step 2: Convert to fraction form
    16,134.57/24,200.98 = 5,039.98/x
  3. Step 3: Cross multiply
    16,134.57x = 24,200.98 × 5,039.98
  4. Step 4: Simplify right side
    16,134.57x = 121,972,455.18
  5. Step 5: Solve for x
    x = 121,972,455.18/16,134.57
  6. Step 6: Final answer
    x = 7,559.70

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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.