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Finding the Fourth Proportional to 16,129.98, 24,197.70 and 5,036.43

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Solution

The fourth proportional to 16,129.98, 24,197.70 and 5,036.43 is: 7,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.98 : 24,197.70 = 5,036.43 : x
  2. Step 2: Convert to fraction form
    16,129.98/24,197.70 = 5,036.43/x
  3. Step 3: Cross multiply
    16,129.98x = 24,197.70 × 5,036.43
  4. Step 4: Simplify right side
    16,129.98x = 121,870,022.21
  5. Step 5: Solve for x
    x = 121,870,022.21/16,129.98
  6. Step 6: Final answer
    x = 7,555.50

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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.