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Finding the Fourth Proportional to 16,002.36, 22,087.62 and 9,290.09

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Solution

The fourth proportional to 16,002.36, 22,087.62 and 9,290.09 is: 12,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.36 : 22,087.62 = 9,290.09 : x
  2. Step 2: Convert to fraction form
    16,002.36/22,087.62 = 9,290.09/x
  3. Step 3: Cross multiply
    16,002.36x = 22,087.62 × 9,290.09
  4. Step 4: Simplify right side
    16,002.36x = 205,196,032.90
  5. Step 5: Solve for x
    x = 205,196,032.90/16,002.36
  6. Step 6: Final answer
    x = 12,822.86

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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.