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Finding the Fourth Proportional to 22,297.25, 30,769.37 and 12,225.45

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Solution

The fourth proportional to 22,297.25, 30,769.37 and 12,225.45 is: 16,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.25 : 30,769.37 = 12,225.45 : x
  2. Step 2: Convert to fraction form
    22,297.25/30,769.37 = 12,225.45/x
  3. Step 3: Cross multiply
    22,297.25x = 30,769.37 × 12,225.45
  4. Step 4: Simplify right side
    22,297.25x = 376,169,333.34
  5. Step 5: Solve for x
    x = 376,169,333.34/22,297.25
  6. Step 6: Final answer
    x = 16,870.66

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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.