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Finding the Fourth Proportional to 22,909.83, 34,366.05 and 7,116.36

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Solution

The fourth proportional to 22,909.83, 34,366.05 and 7,116.36 is: 10,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.83 : 34,366.05 = 7,116.36 : x
  2. Step 2: Convert to fraction form
    22,909.83/34,366.05 = 7,116.36/x
  3. Step 3: Cross multiply
    22,909.83x = 34,366.05 × 7,116.36
  4. Step 4: Simplify right side
    22,909.83x = 244,561,183.58
  5. Step 5: Solve for x
    x = 244,561,183.58/22,909.83
  6. Step 6: Final answer
    x = 10,674.95

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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.