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Finding the Fourth Proportional to 13,870.49, 20,813.92 and 7,297.18

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Solution

The fourth proportional to 13,870.49, 20,813.92 and 7,297.18 is: 10,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.49 : 20,813.92 = 7,297.18 : x
  2. Step 2: Convert to fraction form
    13,870.49/20,813.92 = 7,297.18/x
  3. Step 3: Cross multiply
    13,870.49x = 20,813.92 × 7,297.18
  4. Step 4: Simplify right side
    13,870.49x = 151,882,850.47
  5. Step 5: Solve for x
    x = 151,882,850.47/13,870.49
  6. Step 6: Final answer
    x = 10,950.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.