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Finding the Fourth Proportional to 22,297.69, 30,769.63 and 12,735.70

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Solution

The fourth proportional to 22,297.69, 30,769.63 and 12,735.70 is: 17,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.69 : 30,769.63 = 12,735.70 : x
  2. Step 2: Convert to fraction form
    22,297.69/30,769.63 = 12,735.70/x
  3. Step 3: Cross multiply
    22,297.69x = 30,769.63 × 12,735.70
  4. Step 4: Simplify right side
    22,297.69x = 391,872,597.73
  5. Step 5: Solve for x
    x = 391,872,597.73/22,297.69
  6. Step 6: Final answer
    x = 17,574.58

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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.