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Finding the Fourth Proportional to 16,806.96, 23,193.87 and 9,637.50

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Solution

The fourth proportional to 16,806.96, 23,193.87 and 9,637.50 is: 13,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.96 : 23,193.87 = 9,637.50 : x
  2. Step 2: Convert to fraction form
    16,806.96/23,193.87 = 9,637.50/x
  3. Step 3: Cross multiply
    16,806.96x = 23,193.87 × 9,637.50
  4. Step 4: Simplify right side
    16,806.96x = 223,530,922.13
  5. Step 5: Solve for x
    x = 223,530,922.13/16,806.96
  6. Step 6: Final answer
    x = 13,299.90

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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.