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Finding the Fourth Proportional to 13,870.49, 20,813.93 and 7,297.19

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Solution

The fourth proportional to 13,870.49, 20,813.93 and 7,297.19 is: 10,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.49 : 20,813.93 = 7,297.19 : x
  2. Step 2: Convert to fraction form
    13,870.49/20,813.93 = 7,297.19/x
  3. Step 3: Cross multiply
    13,870.49x = 20,813.93 × 7,297.19
  4. Step 4: Simplify right side
    13,870.49x = 151,883,061.30
  5. Step 5: Solve for x
    x = 151,883,061.30/13,870.49
  6. Step 6: Final answer
    x = 10,950.09

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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.