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Finding the Fourth Proportional to 16,806.34, 25,209.51 and 6,419.14

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Solution

The fourth proportional to 16,806.34, 25,209.51 and 6,419.14 is: 9,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.34 : 25,209.51 = 6,419.14 : x
  2. Step 2: Convert to fraction form
    16,806.34/25,209.51 = 6,419.14/x
  3. Step 3: Cross multiply
    16,806.34x = 25,209.51 × 6,419.14
  4. Step 4: Simplify right side
    16,806.34x = 161,823,374.02
  5. Step 5: Solve for x
    x = 161,823,374.02/16,806.34
  6. Step 6: Final answer
    x = 9,628.71

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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.