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Finding the Fourth Proportional to 12,007.29, 16,568.42 and 6,970.71

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Solution

The fourth proportional to 12,007.29, 16,568.42 and 6,970.71 is: 9,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.29 : 16,568.42 = 6,970.71 : x
  2. Step 2: Convert to fraction form
    12,007.29/16,568.42 = 6,970.71/x
  3. Step 3: Cross multiply
    12,007.29x = 16,568.42 × 6,970.71
  4. Step 4: Simplify right side
    12,007.29x = 115,493,650.98
  5. Step 5: Solve for x
    x = 115,493,650.98/12,007.29
  6. Step 6: Final answer
    x = 9,618.63

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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.