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Finding the Fourth Proportional to 14,305.67, 19,743.75 and 8,339.21

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Solution

The fourth proportional to 14,305.67, 19,743.75 and 8,339.21 is: 11,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.67 : 19,743.75 = 8,339.21 : x
  2. Step 2: Convert to fraction form
    14,305.67/19,743.75 = 8,339.21/x
  3. Step 3: Cross multiply
    14,305.67x = 19,743.75 × 8,339.21
  4. Step 4: Simplify right side
    14,305.67x = 164,647,277.44
  5. Step 5: Solve for x
    x = 164,647,277.44/14,305.67
  6. Step 6: Final answer
    x = 11,509.23

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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.