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Finding the Fourth Proportional to 16,099.50, 22,224.59 and 10,139.93

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Solution

The fourth proportional to 16,099.50, 22,224.59 and 10,139.93 is: 13,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.50 : 22,224.59 = 10,139.93 : x
  2. Step 2: Convert to fraction form
    16,099.50/22,224.59 = 10,139.93/x
  3. Step 3: Cross multiply
    16,099.50x = 22,224.59 × 10,139.93
  4. Step 4: Simplify right side
    16,099.50x = 225,355,625.06
  5. Step 5: Solve for x
    x = 225,355,625.06/16,099.50
  6. Step 6: Final answer
    x = 13,997.68

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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.