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Finding the Fourth Proportional to 16,309.13, 22,506.60 and 8,857.13

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Solution

The fourth proportional to 16,309.13, 22,506.60 and 8,857.13 is: 12,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.13 : 22,506.60 = 8,857.13 : x
  2. Step 2: Convert to fraction form
    16,309.13/22,506.60 = 8,857.13/x
  3. Step 3: Cross multiply
    16,309.13x = 22,506.60 × 8,857.13
  4. Step 4: Simplify right side
    16,309.13x = 199,343,769.53
  5. Step 5: Solve for x
    x = 199,343,769.53/16,309.13
  6. Step 6: Final answer
    x = 12,222.84

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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.