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Finding the Fourth Proportional to 13,264.25, 19,847.30 and 8,002.31

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Solution

The fourth proportional to 13,264.25, 19,847.30 and 8,002.31 is: 11,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.25 : 19,847.30 = 8,002.31 : x
  2. Step 2: Convert to fraction form
    13,264.25/19,847.30 = 8,002.31/x
  3. Step 3: Cross multiply
    13,264.25x = 19,847.30 × 8,002.31
  4. Step 4: Simplify right side
    13,264.25x = 158,824,207.25
  5. Step 5: Solve for x
    x = 158,824,207.25/13,264.25
  6. Step 6: Final answer
    x = 11,973.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.