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Finding the Fourth Proportional to 13,790.90, 19,033.84 and 7,821.38

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Solution

The fourth proportional to 13,790.90, 19,033.84 and 7,821.38 is: 10,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.90 : 19,033.84 = 7,821.38 : x
  2. Step 2: Convert to fraction form
    13,790.90/19,033.84 = 7,821.38/x
  3. Step 3: Cross multiply
    13,790.90x = 19,033.84 × 7,821.38
  4. Step 4: Simplify right side
    13,790.90x = 148,870,895.50
  5. Step 5: Solve for x
    x = 148,870,895.50/13,790.90
  6. Step 6: Final answer
    x = 10,794.86

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Why These Related Problems?

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