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Finding the Fourth Proportional to 12,223.50, 16,868.16 and 6,917.46

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Solution

The fourth proportional to 12,223.50, 16,868.16 and 6,917.46 is: 9,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.50 : 16,868.16 = 6,917.46 : x
  2. Step 2: Convert to fraction form
    12,223.50/16,868.16 = 6,917.46/x
  3. Step 3: Cross multiply
    12,223.50x = 16,868.16 × 6,917.46
  4. Step 4: Simplify right side
    12,223.50x = 116,684,822.07
  5. Step 5: Solve for x
    x = 116,684,822.07/12,223.50
  6. Step 6: Final answer
    x = 9,545.94

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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.