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Finding the Fourth Proportional to 13,437.90, 20,192.49 and 7,202.52

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Solution

The fourth proportional to 13,437.90, 20,192.49 and 7,202.52 is: 10,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.90 : 20,192.49 = 7,202.52 : x
  2. Step 2: Convert to fraction form
    13,437.90/20,192.49 = 7,202.52/x
  3. Step 3: Cross multiply
    13,437.90x = 20,192.49 × 7,202.52
  4. Step 4: Simplify right side
    13,437.90x = 145,436,813.07
  5. Step 5: Solve for x
    x = 145,436,813.07/13,437.90
  6. Step 6: Final answer
    x = 10,822.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.