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Finding the Fourth Proportional to 22,024.88, 33,050.76 and 9,542.48

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Solution

The fourth proportional to 22,024.88, 33,050.76 and 9,542.48 is: 14,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024.88 : 33,050.76 = 9,542.48 : x
  2. Step 2: Convert to fraction form
    22,024.88/33,050.76 = 9,542.48/x
  3. Step 3: Cross multiply
    22,024.88x = 33,050.76 × 9,542.48
  4. Step 4: Simplify right side
    22,024.88x = 315,386,216.28
  5. Step 5: Solve for x
    x = 315,386,216.28/22,024.88
  6. Step 6: Final answer
    x = 14,319.54

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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.