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Finding the Fourth Proportional to 24,768.36, 37,121.82 and 17,457

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Solution

The fourth proportional to 24,768.36, 37,121.82 and 17,457 is: 26,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.36 : 37,121.82 = 17,457 : x
  2. Step 2: Convert to fraction form
    24,768.36/37,121.82 = 17,457/x
  3. Step 3: Cross multiply
    24,768.36x = 37,121.82 × 17,457
  4. Step 4: Simplify right side
    24,768.36x = 648,035,611.74
  5. Step 5: Solve for x
    x = 648,035,611.74/24,768.36
  6. Step 6: Final answer
    x = 26,163.85

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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.