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Finding the Fourth Proportional to 12,200.73, 16,830.83 and 7,716.93

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Solution

The fourth proportional to 12,200.73, 16,830.83 and 7,716.93 is: 10,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.73 : 16,830.83 = 7,716.93 : x
  2. Step 2: Convert to fraction form
    12,200.73/16,830.83 = 7,716.93/x
  3. Step 3: Cross multiply
    12,200.73x = 16,830.83 × 7,716.93
  4. Step 4: Simplify right side
    12,200.73x = 129,882,298.37
  5. Step 5: Solve for x
    x = 129,882,298.37/12,200.73
  6. Step 6: Final answer
    x = 10,645.45

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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.