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Finding the Fourth Proportional to 13,804.38, 19,049.45 and 7,835.94

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Solution

The fourth proportional to 13,804.38, 19,049.45 and 7,835.94 is: 10,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.38 : 19,049.45 = 7,835.94 : x
  2. Step 2: Convert to fraction form
    13,804.38/19,049.45 = 7,835.94/x
  3. Step 3: Cross multiply
    13,804.38x = 19,049.45 × 7,835.94
  4. Step 4: Simplify right side
    13,804.38x = 149,270,347.23
  5. Step 5: Solve for x
    x = 149,270,347.23/13,804.38
  6. Step 6: Final answer
    x = 10,813.26

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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.