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Finding the Fourth Proportional to 24,274.49, 36,398.03 and 9,466.47

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Solution

The fourth proportional to 24,274.49, 36,398.03 and 9,466.47 is: 14,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.49 : 36,398.03 = 9,466.47 : x
  2. Step 2: Convert to fraction form
    24,274.49/36,398.03 = 9,466.47/x
  3. Step 3: Cross multiply
    24,274.49x = 36,398.03 × 9,466.47
  4. Step 4: Simplify right side
    24,274.49x = 344,560,811.72
  5. Step 5: Solve for x
    x = 344,560,811.72/24,274.49
  6. Step 6: Final answer
    x = 14,194.36

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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.