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Finding the Fourth Proportional to 22,369.14, 30,867.30 and 12,297.42

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Solution

The fourth proportional to 22,369.14, 30,867.30 and 12,297.42 is: 16,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.14 : 30,867.30 = 12,297.42 : x
  2. Step 2: Convert to fraction form
    22,369.14/30,867.30 = 12,297.42/x
  3. Step 3: Cross multiply
    22,369.14x = 30,867.30 × 12,297.42
  4. Step 4: Simplify right side
    22,369.14x = 379,588,152.37
  5. Step 5: Solve for x
    x = 379,588,152.37/22,369.14
  6. Step 6: Final answer
    x = 16,969.28

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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.