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Finding the Fourth Proportional to 22,103.14, 30,502.83 and 12,543.66

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Solution

The fourth proportional to 22,103.14, 30,502.83 and 12,543.66 is: 17,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.14 : 30,502.83 = 12,543.66 : x
  2. Step 2: Convert to fraction form
    22,103.14/30,502.83 = 12,543.66/x
  3. Step 3: Cross multiply
    22,103.14x = 30,502.83 × 12,543.66
  4. Step 4: Simplify right side
    22,103.14x = 382,616,976.04
  5. Step 5: Solve for x
    x = 382,616,976.04/22,103.14
  6. Step 6: Final answer
    x = 17,310.53

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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.