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Finding the Fourth Proportional to 16,157.60, 22,297.49 and 9,084.02

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Solution

The fourth proportional to 16,157.60, 22,297.49 and 9,084.02 is: 12,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.60 : 22,297.49 = 9,084.02 : x
  2. Step 2: Convert to fraction form
    16,157.60/22,297.49 = 9,084.02/x
  3. Step 3: Cross multiply
    16,157.60x = 22,297.49 × 9,084.02
  4. Step 4: Simplify right side
    16,157.60x = 202,550,923.18
  5. Step 5: Solve for x
    x = 202,550,923.18/16,157.60
  6. Step 6: Final answer
    x = 12,535.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.