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Finding the Fourth Proportional to 12,224.19, 16,868.87 and 6,919.30

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Solution

The fourth proportional to 12,224.19, 16,868.87 and 6,919.30 is: 9,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.19 : 16,868.87 = 6,919.30 : x
  2. Step 2: Convert to fraction form
    12,224.19/16,868.87 = 6,919.30/x
  3. Step 3: Cross multiply
    12,224.19x = 16,868.87 × 6,919.30
  4. Step 4: Simplify right side
    12,224.19x = 116,720,653.25
  5. Step 5: Solve for x
    x = 116,720,653.25/12,224.19
  6. Step 6: Final answer
    x = 9,548.34

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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.