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Finding the Fourth Proportional to 22,928, 31,640.64 and 13,502.36

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Solution

The fourth proportional to 22,928, 31,640.64 and 13,502.36 is: 18,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928 : 31,640.64 = 13,502.36 : x
  2. Step 2: Convert to fraction form
    22,928/31,640.64 = 13,502.36/x
  3. Step 3: Cross multiply
    22,928x = 31,640.64 × 13,502.36
  4. Step 4: Simplify right side
    22,928x = 427,223,311.91
  5. Step 5: Solve for x
    x = 427,223,311.91/22,928
  6. Step 6: Final answer
    x = 18,633.26

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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.