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Finding the Fourth Proportional to 13,972.50, 20,959.38 and 5,205.24

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Solution

The fourth proportional to 13,972.50, 20,959.38 and 5,205.24 is: 7,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 20,959.38 = 5,205.24 : x
  2. Step 2: Convert to fraction form
    13,972.50/20,959.38 = 5,205.24/x
  3. Step 3: Cross multiply
    13,972.50x = 20,959.38 × 5,205.24
  4. Step 4: Simplify right side
    13,972.50x = 109,098,603.15
  5. Step 5: Solve for x
    x = 109,098,603.15/13,972.50
  6. Step 6: Final answer
    x = 7,808.09

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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.