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Finding the Fourth Proportional to 14,179.67, 19,569.07 and 8,211.44

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Solution

The fourth proportional to 14,179.67, 19,569.07 and 8,211.44 is: 11,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,179.67 : 19,569.07 = 8,211.44 : x
  2. Step 2: Convert to fraction form
    14,179.67/19,569.07 = 8,211.44/x
  3. Step 3: Cross multiply
    14,179.67x = 19,569.07 × 8,211.44
  4. Step 4: Simplify right side
    14,179.67x = 160,690,244.16
  5. Step 5: Solve for x
    x = 160,690,244.16/14,179.67
  6. Step 6: Final answer
    x = 11,332.44

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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.