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Finding the Fourth Proportional to 28,542.24, 42,813.36 and 7,765.74

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Solution

The fourth proportional to 28,542.24, 42,813.36 and 7,765.74 is: 11,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.24 : 42,813.36 = 7,765.74 : x
  2. Step 2: Convert to fraction form
    28,542.24/42,813.36 = 7,765.74/x
  3. Step 3: Cross multiply
    28,542.24x = 42,813.36 × 7,765.74
  4. Step 4: Simplify right side
    28,542.24x = 332,477,422.29
  5. Step 5: Solve for x
    x = 332,477,422.29/28,542.24
  6. Step 6: Final answer
    x = 11,648.61

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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.