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Finding the Fourth Proportional to 16,006.96, 22,086.83 and 9,291.08

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Solution

The fourth proportional to 16,006.96, 22,086.83 and 9,291.08 is: 12,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.96 : 22,086.83 = 9,291.08 : x
  2. Step 2: Convert to fraction form
    16,006.96/22,086.83 = 9,291.08/x
  3. Step 3: Cross multiply
    16,006.96x = 22,086.83 × 9,291.08
  4. Step 4: Simplify right side
    16,006.96x = 205,210,504.48
  5. Step 5: Solve for x
    x = 205,210,504.48/16,006.96
  6. Step 6: Final answer
    x = 12,820.08

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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.