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Finding the Fourth Proportional to 18,711.57, 25,822.50 and 10,214.22

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Solution

The fourth proportional to 18,711.57, 25,822.50 and 10,214.22 is: 14,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,711.57 : 25,822.50 = 10,214.22 : x
  2. Step 2: Convert to fraction form
    18,711.57/25,822.50 = 10,214.22/x
  3. Step 3: Cross multiply
    18,711.57x = 25,822.50 × 10,214.22
  4. Step 4: Simplify right side
    18,711.57x = 263,756,631.39
  5. Step 5: Solve for x
    x = 263,756,631.39/18,711.57
  6. Step 6: Final answer
    x = 14,095.91

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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.