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Finding the Fourth Proportional to 16,638.64, 22,962 and 9,085.48

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Solution

The fourth proportional to 16,638.64, 22,962 and 9,085.48 is: 12,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.64 : 22,962 = 9,085.48 : x
  2. Step 2: Convert to fraction form
    16,638.64/22,962 = 9,085.48/x
  3. Step 3: Cross multiply
    16,638.64x = 22,962 × 9,085.48
  4. Step 4: Simplify right side
    16,638.64x = 208,620,791.76
  5. Step 5: Solve for x
    x = 208,620,791.76/16,638.64
  6. Step 6: Final answer
    x = 12,538.33

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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.