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Finding the Fourth Proportional to 12,297.69, 16,970.87 and 6,708.81

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Solution

The fourth proportional to 12,297.69, 16,970.87 and 6,708.81 is: 9,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.69 : 16,970.87 = 6,708.81 : x
  2. Step 2: Convert to fraction form
    12,297.69/16,970.87 = 6,708.81/x
  3. Step 3: Cross multiply
    12,297.69x = 16,970.87 × 6,708.81
  4. Step 4: Simplify right side
    12,297.69x = 113,854,308.82
  5. Step 5: Solve for x
    x = 113,854,308.82/12,297.69
  6. Step 6: Final answer
    x = 9,258.19

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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.