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Finding the Fourth Proportional to 22,480.64, 31,022.85 and 12,408.49

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Solution

The fourth proportional to 22,480.64, 31,022.85 and 12,408.49 is: 17,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.64 : 31,022.85 = 12,408.49 : x
  2. Step 2: Convert to fraction form
    22,480.64/31,022.85 = 12,408.49/x
  3. Step 3: Cross multiply
    22,480.64x = 31,022.85 × 12,408.49
  4. Step 4: Simplify right side
    22,480.64x = 384,946,724.00
  5. Step 5: Solve for x
    x = 384,946,724.00/22,480.64
  6. Step 6: Final answer
    x = 17,123.48

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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.