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Finding the Fourth Proportional to 22,262.95, 33,396.15 and 6,468.24

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Solution

The fourth proportional to 22,262.95, 33,396.15 and 6,468.24 is: 9,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.95 : 33,396.15 = 6,468.24 : x
  2. Step 2: Convert to fraction form
    22,262.95/33,396.15 = 6,468.24/x
  3. Step 3: Cross multiply
    22,262.95x = 33,396.15 × 6,468.24
  4. Step 4: Simplify right side
    22,262.95x = 216,014,313.28
  5. Step 5: Solve for x
    x = 216,014,313.28/22,262.95
  6. Step 6: Final answer
    x = 9,702.86

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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.