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Finding the Fourth Proportional to 22,105.69, 30,508.94 and 14,164.83

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Solution

The fourth proportional to 22,105.69, 30,508.94 and 14,164.83 is: 19,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.69 : 30,508.94 = 14,164.83 : x
  2. Step 2: Convert to fraction form
    22,105.69/30,508.94 = 14,164.83/x
  3. Step 3: Cross multiply
    22,105.69x = 30,508.94 × 14,164.83
  4. Step 4: Simplify right side
    22,105.69x = 432,153,904.32
  5. Step 5: Solve for x
    x = 432,153,904.32/22,105.69
  6. Step 6: Final answer
    x = 19,549.44

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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.