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Finding the Fourth Proportional to 16,237.12, 22,408.24 and 9,164.20

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Solution

The fourth proportional to 16,237.12, 22,408.24 and 9,164.20 is: 12,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.12 : 22,408.24 = 9,164.20 : x
  2. Step 2: Convert to fraction form
    16,237.12/22,408.24 = 9,164.20/x
  3. Step 3: Cross multiply
    16,237.12x = 22,408.24 × 9,164.20
  4. Step 4: Simplify right side
    16,237.12x = 205,353,593.01
  5. Step 5: Solve for x
    x = 205,353,593.01/16,237.12
  6. Step 6: Final answer
    x = 12,647.17

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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.