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Finding the Fourth Proportional to 22,258.69, 30,717 and 12,322.69

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Solution

The fourth proportional to 22,258.69, 30,717 and 12,322.69 is: 17,005.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.69 : 30,717 = 12,322.69 : x
  2. Step 2: Convert to fraction form
    22,258.69/30,717 = 12,322.69/x
  3. Step 3: Cross multiply
    22,258.69x = 30,717 × 12,322.69
  4. Step 4: Simplify right side
    22,258.69x = 378,515,991.94
  5. Step 5: Solve for x
    x = 378,515,991.94/22,258.69
  6. Step 6: Final answer
    x = 17,005.31

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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.