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Finding the Fourth Proportional to 13,804.49, 20,693.98 and 5,033.27

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Solution

The fourth proportional to 13,804.49, 20,693.98 and 5,033.27 is: 7,545.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.49 : 20,693.98 = 5,033.27 : x
  2. Step 2: Convert to fraction form
    13,804.49/20,693.98 = 5,033.27/x
  3. Step 3: Cross multiply
    13,804.49x = 20,693.98 × 5,033.27
  4. Step 4: Simplify right side
    13,804.49x = 104,158,446.74
  5. Step 5: Solve for x
    x = 104,158,446.74/13,804.49
  6. Step 6: Final answer
    x = 7,545.26

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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.