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Finding the Fourth Proportional to 13,907.50, 20,862.16 and 6,116.31

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Solution

The fourth proportional to 13,907.50, 20,862.16 and 6,116.31 is: 9,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.50 : 20,862.16 = 6,116.31 : x
  2. Step 2: Convert to fraction form
    13,907.50/20,862.16 = 6,116.31/x
  3. Step 3: Cross multiply
    13,907.50x = 20,862.16 × 6,116.31
  4. Step 4: Simplify right side
    13,907.50x = 127,599,422.54
  5. Step 5: Solve for x
    x = 127,599,422.54/13,907.50
  6. Step 6: Final answer
    x = 9,174.87

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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.