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Finding the Fourth Proportional to 16,187.64, 22,337.40 and 11,941

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Solution

The fourth proportional to 16,187.64, 22,337.40 and 11,941 is: 16,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.64 : 22,337.40 = 11,941 : x
  2. Step 2: Convert to fraction form
    16,187.64/22,337.40 = 11,941/x
  3. Step 3: Cross multiply
    16,187.64x = 22,337.40 × 11,941
  4. Step 4: Simplify right side
    16,187.64x = 266,730,893.40
  5. Step 5: Solve for x
    x = 266,730,893.40/16,187.64
  6. Step 6: Final answer
    x = 16,477.44

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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.