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Finding the Fourth Proportional to 22,449.19, 33,673.95 and 9,965.86

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Solution

The fourth proportional to 22,449.19, 33,673.95 and 9,965.86 is: 14,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.19 : 33,673.95 = 9,965.86 : x
  2. Step 2: Convert to fraction form
    22,449.19/33,673.95 = 9,965.86/x
  3. Step 3: Cross multiply
    22,449.19x = 33,673.95 × 9,965.86
  4. Step 4: Simplify right side
    22,449.19x = 335,589,702.98
  5. Step 5: Solve for x
    x = 335,589,702.98/22,449.19
  6. Step 6: Final answer
    x = 14,948.86

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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.