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Finding the Fourth Proportional to 12,224.41, 16,869.59 and 6,919.18

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Solution

The fourth proportional to 12,224.41, 16,869.59 and 6,919.18 is: 9,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.41 : 16,869.59 = 6,919.18 : x
  2. Step 2: Convert to fraction form
    12,224.41/16,869.59 = 6,919.18/x
  3. Step 3: Cross multiply
    12,224.41x = 16,869.59 × 6,919.18
  4. Step 4: Simplify right side
    12,224.41x = 116,723,695.14
  5. Step 5: Solve for x
    x = 116,723,695.14/12,224.41
  6. Step 6: Final answer
    x = 9,548.41

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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.