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Finding the Fourth Proportional to 20,862.25, 31,290.63 and 7,533.88

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Solution

The fourth proportional to 20,862.25, 31,290.63 and 7,533.88 is: 11,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.25 : 31,290.63 = 7,533.88 : x
  2. Step 2: Convert to fraction form
    20,862.25/31,290.63 = 7,533.88/x
  3. Step 3: Cross multiply
    20,862.25x = 31,290.63 × 7,533.88
  4. Step 4: Simplify right side
    20,862.25x = 235,739,851.54
  5. Step 5: Solve for x
    x = 235,739,851.54/20,862.25
  6. Step 6: Final answer
    x = 11,299.83

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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.