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Finding the Fourth Proportional to 16,005.50, 22,087.79 and 9,291.41

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Solution

The fourth proportional to 16,005.50, 22,087.79 and 9,291.41 is: 12,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.50 : 22,087.79 = 9,291.41 : x
  2. Step 2: Convert to fraction form
    16,005.50/22,087.79 = 9,291.41/x
  3. Step 3: Cross multiply
    16,005.50x = 22,087.79 × 9,291.41
  4. Step 4: Simplify right side
    16,005.50x = 205,226,673.66
  5. Step 5: Solve for x
    x = 205,226,673.66/16,005.50
  6. Step 6: Final answer
    x = 12,822.26

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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.