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Finding the Fourth Proportional to 16,806.57, 25,209.86 and 6,277.42

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Solution

The fourth proportional to 16,806.57, 25,209.86 and 6,277.42 is: 9,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.57 : 25,209.86 = 6,277.42 : x
  2. Step 2: Convert to fraction form
    16,806.57/25,209.86 = 6,277.42/x
  3. Step 3: Cross multiply
    16,806.57x = 25,209.86 × 6,277.42
  4. Step 4: Simplify right side
    16,806.57x = 158,252,879.36
  5. Step 5: Solve for x
    x = 158,252,879.36/16,806.57
  6. Step 6: Final answer
    x = 9,416.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.