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Finding the Fourth Proportional to 20,152.15, 30,187.05 and 9,590.20

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Solution

The fourth proportional to 20,152.15, 30,187.05 and 9,590.20 is: 14,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.15 : 30,187.05 = 9,590.20 : x
  2. Step 2: Convert to fraction form
    20,152.15/30,187.05 = 9,590.20/x
  3. Step 3: Cross multiply
    20,152.15x = 30,187.05 × 9,590.20
  4. Step 4: Simplify right side
    20,152.15x = 289,499,846.91
  5. Step 5: Solve for x
    x = 289,499,846.91/20,152.15
  6. Step 6: Final answer
    x = 14,365.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.