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Finding the Fourth Proportional to 14,822.76, 20,446.50 and 9,786.99

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Solution

The fourth proportional to 14,822.76, 20,446.50 and 9,786.99 is: 13,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.76 : 20,446.50 = 9,786.99 : x
  2. Step 2: Convert to fraction form
    14,822.76/20,446.50 = 9,786.99/x
  3. Step 3: Cross multiply
    14,822.76x = 20,446.50 × 9,786.99
  4. Step 4: Simplify right side
    14,822.76x = 200,109,691.04
  5. Step 5: Solve for x
    x = 200,109,691.04/14,822.76
  6. Step 6: Final answer
    x = 13,500.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.