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Finding the Fourth Proportional to 13,305.68, 19,963.23 and 5,909.47

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Solution

The fourth proportional to 13,305.68, 19,963.23 and 5,909.47 is: 8,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.68 : 19,963.23 = 5,909.47 : x
  2. Step 2: Convert to fraction form
    13,305.68/19,963.23 = 5,909.47/x
  3. Step 3: Cross multiply
    13,305.68x = 19,963.23 × 5,909.47
  4. Step 4: Simplify right side
    13,305.68x = 117,972,008.97
  5. Step 5: Solve for x
    x = 117,972,008.97/13,305.68
  6. Step 6: Final answer
    x = 8,866.29

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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.