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Finding the Fourth Proportional to 12,101.93, 16,698.53 and 7,387.73

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Solution

The fourth proportional to 12,101.93, 16,698.53 and 7,387.73 is: 10,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.93 : 16,698.53 = 7,387.73 : x
  2. Step 2: Convert to fraction form
    12,101.93/16,698.53 = 7,387.73/x
  3. Step 3: Cross multiply
    12,101.93x = 16,698.53 × 7,387.73
  4. Step 4: Simplify right side
    12,101.93x = 123,364,194.10
  5. Step 5: Solve for x
    x = 123,364,194.10/12,101.93
  6. Step 6: Final answer
    x = 10,193.76

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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.