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Finding the Fourth Proportional to 13,967.97, 19,274.66 and 8,224.52

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Solution

The fourth proportional to 13,967.97, 19,274.66 and 8,224.52 is: 11,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.97 : 19,274.66 = 8,224.52 : x
  2. Step 2: Convert to fraction form
    13,967.97/19,274.66 = 8,224.52/x
  3. Step 3: Cross multiply
    13,967.97x = 19,274.66 × 8,224.52
  4. Step 4: Simplify right side
    13,967.97x = 158,524,689.17
  5. Step 5: Solve for x
    x = 158,524,689.17/13,967.97
  6. Step 6: Final answer
    x = 11,349.16

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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.