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Finding the Fourth Proportional to 20,235.37, 30,345.77 and 8,549.50

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Solution

The fourth proportional to 20,235.37, 30,345.77 and 8,549.50 is: 12,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.37 : 30,345.77 = 8,549.50 : x
  2. Step 2: Convert to fraction form
    20,235.37/30,345.77 = 8,549.50/x
  3. Step 3: Cross multiply
    20,235.37x = 30,345.77 × 8,549.50
  4. Step 4: Simplify right side
    20,235.37x = 259,441,306.74
  5. Step 5: Solve for x
    x = 259,441,306.74/20,235.37
  6. Step 6: Final answer
    x = 12,821.18

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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.