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Finding the Fourth Proportional to 18,199.16, 27,307.38 and 8,963

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Solution

The fourth proportional to 18,199.16, 27,307.38 and 8,963 is: 13,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.16 : 27,307.38 = 8,963 : x
  2. Step 2: Convert to fraction form
    18,199.16/27,307.38 = 8,963/x
  3. Step 3: Cross multiply
    18,199.16x = 27,307.38 × 8,963
  4. Step 4: Simplify right side
    18,199.16x = 244,756,046.94
  5. Step 5: Solve for x
    x = 244,756,046.94/18,199.16
  6. Step 6: Final answer
    x = 13,448.76

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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.