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Finding the Fourth Proportional to 24,592.22, 36,879.81 and 9,595.82

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Solution

The fourth proportional to 24,592.22, 36,879.81 and 9,595.82 is: 14,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592.22 : 36,879.81 = 9,595.82 : x
  2. Step 2: Convert to fraction form
    24,592.22/36,879.81 = 9,595.82/x
  3. Step 3: Cross multiply
    24,592.22x = 36,879.81 × 9,595.82
  4. Step 4: Simplify right side
    24,592.22x = 353,892,018.39
  5. Step 5: Solve for x
    x = 353,892,018.39/24,592.22
  6. Step 6: Final answer
    x = 14,390.41

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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.