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Finding the Fourth Proportional to 16,237.75, 22,408.11 and 9,164.02

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Solution

The fourth proportional to 16,237.75, 22,408.11 and 9,164.02 is: 12,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.75 : 22,408.11 = 9,164.02 : x
  2. Step 2: Convert to fraction form
    16,237.75/22,408.11 = 9,164.02/x
  3. Step 3: Cross multiply
    16,237.75x = 22,408.11 × 9,164.02
  4. Step 4: Simplify right side
    16,237.75x = 205,348,368.20
  5. Step 5: Solve for x
    x = 205,348,368.20/16,237.75
  6. Step 6: Final answer
    x = 12,646.36

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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.