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Finding the Fourth Proportional to 22,626, 31,223.88 and 13,794

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Solution

The fourth proportional to 22,626, 31,223.88 and 13,794 is: 19,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626 : 31,223.88 = 13,794 : x
  2. Step 2: Convert to fraction form
    22,626/31,223.88 = 13,794/x
  3. Step 3: Cross multiply
    22,626x = 31,223.88 × 13,794
  4. Step 4: Simplify right side
    22,626x = 430,702,200.72
  5. Step 5: Solve for x
    x = 430,702,200.72/22,626
  6. Step 6: Final answer
    x = 19,035.72

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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.