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Finding the Fourth Proportional to 20,690.70, 31,036.62 and 7,552.86

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Solution

The fourth proportional to 20,690.70, 31,036.62 and 7,552.86 is: 11,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.70 : 31,036.62 = 7,552.86 : x
  2. Step 2: Convert to fraction form
    20,690.70/31,036.62 = 7,552.86/x
  3. Step 3: Cross multiply
    20,690.70x = 31,036.62 × 7,552.86
  4. Step 4: Simplify right side
    20,690.70x = 234,415,245.73
  5. Step 5: Solve for x
    x = 234,415,245.73/20,690.70
  6. Step 6: Final answer
    x = 11,329.50

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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.