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Finding the Fourth Proportional to 16,153.83, 22,286.95 and 13,164.53

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Solution

The fourth proportional to 16,153.83, 22,286.95 and 13,164.53 is: 18,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.83 : 22,286.95 = 13,164.53 : x
  2. Step 2: Convert to fraction form
    16,153.83/22,286.95 = 13,164.53/x
  3. Step 3: Cross multiply
    16,153.83x = 22,286.95 × 13,164.53
  4. Step 4: Simplify right side
    16,153.83x = 293,397,077.54
  5. Step 5: Solve for x
    x = 293,397,077.54/16,153.83
  6. Step 6: Final answer
    x = 18,162.69

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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.