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Finding the Fourth Proportional to 34,384.56, 51,578.28 and 11,014.32

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Solution

The fourth proportional to 34,384.56, 51,578.28 and 11,014.32 is: 16,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384.56 : 51,578.28 = 11,014.32 : x
  2. Step 2: Convert to fraction form
    34,384.56/51,578.28 = 11,014.32/x
  3. Step 3: Cross multiply
    34,384.56x = 51,578.28 × 11,014.32
  4. Step 4: Simplify right side
    34,384.56x = 568,099,680.97
  5. Step 5: Solve for x
    x = 568,099,680.97/34,384.56
  6. Step 6: Final answer
    x = 16,521.94

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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.