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Finding the Fourth Proportional to 22,650.17, 33,966.75 and 7,855.52

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Solution

The fourth proportional to 22,650.17, 33,966.75 and 7,855.52 is: 11,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.17 : 33,966.75 = 7,855.52 : x
  2. Step 2: Convert to fraction form
    22,650.17/33,966.75 = 7,855.52/x
  3. Step 3: Cross multiply
    22,650.17x = 33,966.75 × 7,855.52
  4. Step 4: Simplify right side
    22,650.17x = 266,826,483.96
  5. Step 5: Solve for x
    x = 266,826,483.96/22,650.17
  6. Step 6: Final answer
    x = 11,780.33

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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.