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Finding the Fourth Proportional to 16,237.77, 22,408.76 and 9,164.44

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Solution

The fourth proportional to 16,237.77, 22,408.76 and 9,164.44 is: 12,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.77 : 22,408.76 = 9,164.44 : x
  2. Step 2: Convert to fraction form
    16,237.77/22,408.76 = 9,164.44/x
  3. Step 3: Cross multiply
    16,237.77x = 22,408.76 × 9,164.44
  4. Step 4: Simplify right side
    16,237.77x = 205,363,736.49
  5. Step 5: Solve for x
    x = 205,363,736.49/16,237.77
  6. Step 6: Final answer
    x = 12,647.29

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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.