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Finding the Fourth Proportional to 12,223.85, 16,867.89 and 7,188.29

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Solution

The fourth proportional to 12,223.85, 16,867.89 and 7,188.29 is: 9,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.85 : 16,867.89 = 7,188.29 : x
  2. Step 2: Convert to fraction form
    12,223.85/16,867.89 = 7,188.29/x
  3. Step 3: Cross multiply
    12,223.85x = 16,867.89 × 7,188.29
  4. Step 4: Simplify right side
    12,223.85x = 121,251,285.01
  5. Step 5: Solve for x
    x = 121,251,285.01/12,223.85
  6. Step 6: Final answer
    x = 9,919.24

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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.