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Finding the Fourth Proportional to 16,097.50, 22,221.83 and 10,137.93

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Solution

The fourth proportional to 16,097.50, 22,221.83 and 10,137.93 is: 13,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.50 : 22,221.83 = 10,137.93 : x
  2. Step 2: Convert to fraction form
    16,097.50/22,221.83 = 10,137.93/x
  3. Step 3: Cross multiply
    16,097.50x = 22,221.83 × 10,137.93
  4. Step 4: Simplify right side
    16,097.50x = 225,283,357.01
  5. Step 5: Solve for x
    x = 225,283,357.01/16,097.50
  6. Step 6: Final answer
    x = 13,994.93

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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.