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Finding the Fourth Proportional to 12,991.47, 19,489.26 and 4,224.33

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Solution

The fourth proportional to 12,991.47, 19,489.26 and 4,224.33 is: 6,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.47 : 19,489.26 = 4,224.33 : x
  2. Step 2: Convert to fraction form
    12,991.47/19,489.26 = 4,224.33/x
  3. Step 3: Cross multiply
    12,991.47x = 19,489.26 × 4,224.33
  4. Step 4: Simplify right side
    12,991.47x = 82,329,065.70
  5. Step 5: Solve for x
    x = 82,329,065.70/12,991.47
  6. Step 6: Final answer
    x = 6,337.16

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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.