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Finding the Fourth Proportional to 20,813.84, 31,203.48 and 9,714.68

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Solution

The fourth proportional to 20,813.84, 31,203.48 and 9,714.68 is: 14,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.84 : 31,203.48 = 9,714.68 : x
  2. Step 2: Convert to fraction form
    20,813.84/31,203.48 = 9,714.68/x
  3. Step 3: Cross multiply
    20,813.84x = 31,203.48 × 9,714.68
  4. Step 4: Simplify right side
    20,813.84x = 303,131,823.09
  5. Step 5: Solve for x
    x = 303,131,823.09/20,813.84
  6. Step 6: Final answer
    x = 14,563.95

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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.