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Finding the Fourth Proportional to 16,982.42, 25,475 and 6,457.48

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Solution

The fourth proportional to 16,982.42, 25,475 and 6,457.48 is: 9,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.42 : 25,475 = 6,457.48 : x
  2. Step 2: Convert to fraction form
    16,982.42/25,475 = 6,457.48/x
  3. Step 3: Cross multiply
    16,982.42x = 25,475 × 6,457.48
  4. Step 4: Simplify right side
    16,982.42x = 164,504,303
  5. Step 5: Solve for x
    x = 164,504,303/16,982.42
  6. Step 6: Final answer
    x = 9,686.74

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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.