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Finding the Fourth Proportional to 16,051.74, 22,146.39 and 9,761.82

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Solution

The fourth proportional to 16,051.74, 22,146.39 and 9,761.82 is: 13,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.74 : 22,146.39 = 9,761.82 : x
  2. Step 2: Convert to fraction form
    16,051.74/22,146.39 = 9,761.82/x
  3. Step 3: Cross multiply
    16,051.74x = 22,146.39 × 9,761.82
  4. Step 4: Simplify right side
    16,051.74x = 216,189,072.83
  5. Step 5: Solve for x
    x = 216,189,072.83/16,051.74
  6. Step 6: Final answer
    x = 13,468.26

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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.