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Finding the Fourth Proportional to 22,728.50, 31,363.09 and 12,656.55

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Solution

The fourth proportional to 22,728.50, 31,363.09 and 12,656.55 is: 17,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.50 : 31,363.09 = 12,656.55 : x
  2. Step 2: Convert to fraction form
    22,728.50/31,363.09 = 12,656.55/x
  3. Step 3: Cross multiply
    22,728.50x = 31,363.09 × 12,656.55
  4. Step 4: Simplify right side
    22,728.50x = 396,948,485.10
  5. Step 5: Solve for x
    x = 396,948,485.10/22,728.50
  6. Step 6: Final answer
    x = 17,464.79

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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.