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Finding the Fourth Proportional to 23,671, 32,669.22 and 13,735

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Solution

The fourth proportional to 23,671, 32,669.22 and 13,735 is: 18,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671 : 32,669.22 = 13,735 : x
  2. Step 2: Convert to fraction form
    23,671/32,669.22 = 13,735/x
  3. Step 3: Cross multiply
    23,671x = 32,669.22 × 13,735
  4. Step 4: Simplify right side
    23,671x = 448,711,736.70
  5. Step 5: Solve for x
    x = 448,711,736.70/23,671
  6. Step 6: Final answer
    x = 18,956.18

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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.