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Finding the Fourth Proportional to 20,347.88, 30,522.01 and 7,202.48

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Solution

The fourth proportional to 20,347.88, 30,522.01 and 7,202.48 is: 10,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.88 : 30,522.01 = 7,202.48 : x
  2. Step 2: Convert to fraction form
    20,347.88/30,522.01 = 7,202.48/x
  3. Step 3: Cross multiply
    20,347.88x = 30,522.01 × 7,202.48
  4. Step 4: Simplify right side
    20,347.88x = 219,834,166.58
  5. Step 5: Solve for x
    x = 219,834,166.58/20,347.88
  6. Step 6: Final answer
    x = 10,803.79

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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.