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Finding the Fourth Proportional to 13,801.62, 20,702.46 and 5,034.50

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Solution

The fourth proportional to 13,801.62, 20,702.46 and 5,034.50 is: 7,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.62 : 20,702.46 = 5,034.50 : x
  2. Step 2: Convert to fraction form
    13,801.62/20,702.46 = 5,034.50/x
  3. Step 3: Cross multiply
    13,801.62x = 20,702.46 × 5,034.50
  4. Step 4: Simplify right side
    13,801.62x = 104,226,406.19
  5. Step 5: Solve for x
    x = 104,226,406.19/13,801.62
  6. Step 6: Final answer
    x = 7,551.75

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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.