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Finding the Fourth Proportional to 12,007.14, 16,569.77 and 6,974.30

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Solution

The fourth proportional to 12,007.14, 16,569.77 and 6,974.30 is: 9,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.14 : 16,569.77 = 6,974.30 : x
  2. Step 2: Convert to fraction form
    12,007.14/16,569.77 = 6,974.30/x
  3. Step 3: Cross multiply
    12,007.14x = 16,569.77 × 6,974.30
  4. Step 4: Simplify right side
    12,007.14x = 115,562,553.46
  5. Step 5: Solve for x
    x = 115,562,553.46/12,007.14
  6. Step 6: Final answer
    x = 9,624.49

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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.