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Finding the Fourth Proportional to 16,997.61, 25,496.42 and 6,465.20

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Solution

The fourth proportional to 16,997.61, 25,496.42 and 6,465.20 is: 9,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.61 : 25,496.42 = 6,465.20 : x
  2. Step 2: Convert to fraction form
    16,997.61/25,496.42 = 6,465.20/x
  3. Step 3: Cross multiply
    16,997.61x = 25,496.42 × 6,465.20
  4. Step 4: Simplify right side
    16,997.61x = 164,839,343.26
  5. Step 5: Solve for x
    x = 164,839,343.26/16,997.61
  6. Step 6: Final answer
    x = 9,697.80

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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.