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Finding the Fourth Proportional to 24,531.40, 36,786.03 and 6,997.06

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Solution

The fourth proportional to 24,531.40, 36,786.03 and 6,997.06 is: 10,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.40 : 36,786.03 = 6,997.06 : x
  2. Step 2: Convert to fraction form
    24,531.40/36,786.03 = 6,997.06/x
  3. Step 3: Cross multiply
    24,531.40x = 36,786.03 × 6,997.06
  4. Step 4: Simplify right side
    24,531.40x = 257,394,059.07
  5. Step 5: Solve for x
    x = 257,394,059.07/24,531.40
  6. Step 6: Final answer
    x = 10,492.43

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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.