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Finding the Fourth Proportional to 20,929.50, 31,408.65 and 8,617.50

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Solution

The fourth proportional to 20,929.50, 31,408.65 and 8,617.50 is: 12,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.50 : 31,408.65 = 8,617.50 : x
  2. Step 2: Convert to fraction form
    20,929.50/31,408.65 = 8,617.50/x
  3. Step 3: Cross multiply
    20,929.50x = 31,408.65 × 8,617.50
  4. Step 4: Simplify right side
    20,929.50x = 270,664,041.38
  5. Step 5: Solve for x
    x = 270,664,041.38/20,929.50
  6. Step 6: Final answer
    x = 12,932.18

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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.