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Finding the Fourth Proportional to 13,772.50, 18,997.38 and 10,984.66

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Solution

The fourth proportional to 13,772.50, 18,997.38 and 10,984.66 is: 15,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.50 : 18,997.38 = 10,984.66 : x
  2. Step 2: Convert to fraction form
    13,772.50/18,997.38 = 10,984.66/x
  3. Step 3: Cross multiply
    13,772.50x = 18,997.38 × 10,984.66
  4. Step 4: Simplify right side
    13,772.50x = 208,679,760.19
  5. Step 5: Solve for x
    x = 208,679,760.19/13,772.50
  6. Step 6: Final answer
    x = 15,151.92

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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.