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Finding the Fourth Proportional to 16,806.84, 25,210.26 and 6,419.64

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Solution

The fourth proportional to 16,806.84, 25,210.26 and 6,419.64 is: 9,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.84 : 25,210.26 = 6,419.64 : x
  2. Step 2: Convert to fraction form
    16,806.84/25,210.26 = 6,419.64/x
  3. Step 3: Cross multiply
    16,806.84x = 25,210.26 × 6,419.64
  4. Step 4: Simplify right side
    16,806.84x = 161,840,793.51
  5. Step 5: Solve for x
    x = 161,840,793.51/16,806.84
  6. Step 6: Final answer
    x = 9,629.46

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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.