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Finding the Fourth Proportional to 16,645.10, 22,970.43 and 9,091.66

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Solution

The fourth proportional to 16,645.10, 22,970.43 and 9,091.66 is: 12,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.10 : 22,970.43 = 9,091.66 : x
  2. Step 2: Convert to fraction form
    16,645.10/22,970.43 = 9,091.66/x
  3. Step 3: Cross multiply
    16,645.10x = 22,970.43 × 9,091.66
  4. Step 4: Simplify right side
    16,645.10x = 208,839,179.30
  5. Step 5: Solve for x
    x = 208,839,179.30/16,645.10
  6. Step 6: Final answer
    x = 12,546.59

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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.