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Finding the Fourth Proportional to 12,197.10, 16,831.08 and 8,223.57

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Solution

The fourth proportional to 12,197.10, 16,831.08 and 8,223.57 is: 11,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.10 : 16,831.08 = 8,223.57 : x
  2. Step 2: Convert to fraction form
    12,197.10/16,831.08 = 8,223.57/x
  3. Step 3: Cross multiply
    12,197.10x = 16,831.08 × 8,223.57
  4. Step 4: Simplify right side
    12,197.10x = 138,411,564.56
  5. Step 5: Solve for x
    x = 138,411,564.56/12,197.10
  6. Step 6: Final answer
    x = 11,347.91

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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.