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Finding the Fourth Proportional to 14,297.28, 19,729.44 and 8,329.92

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Solution

The fourth proportional to 14,297.28, 19,729.44 and 8,329.92 is: 11,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.28 : 19,729.44 = 8,329.92 : x
  2. Step 2: Convert to fraction form
    14,297.28/19,729.44 = 8,329.92/x
  3. Step 3: Cross multiply
    14,297.28x = 19,729.44 × 8,329.92
  4. Step 4: Simplify right side
    14,297.28x = 164,344,656.84
  5. Step 5: Solve for x
    x = 164,344,656.84/14,297.28
  6. Step 6: Final answer
    x = 11,494.82

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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.