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Finding the Fourth Proportional to 16,243.47, 22,415.80 and 9,170.19

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Solution

The fourth proportional to 16,243.47, 22,415.80 and 9,170.19 is: 12,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.47 : 22,415.80 = 9,170.19 : x
  2. Step 2: Convert to fraction form
    16,243.47/22,415.80 = 9,170.19/x
  3. Step 3: Cross multiply
    16,243.47x = 22,415.80 × 9,170.19
  4. Step 4: Simplify right side
    16,243.47x = 205,557,145.00
  5. Step 5: Solve for x
    x = 205,557,145.00/16,243.47
  6. Step 6: Final answer
    x = 12,654.76

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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.