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Finding the Fourth Proportional to 15,175.74, 22,768.02 and 6,289.44

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Solution

The fourth proportional to 15,175.74, 22,768.02 and 6,289.44 is: 9,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.74 : 22,768.02 = 6,289.44 : x
  2. Step 2: Convert to fraction form
    15,175.74/22,768.02 = 6,289.44/x
  3. Step 3: Cross multiply
    15,175.74x = 22,768.02 × 6,289.44
  4. Step 4: Simplify right side
    15,175.74x = 143,198,095.71
  5. Step 5: Solve for x
    x = 143,198,095.71/15,175.74
  6. Step 6: Final answer
    x = 9,435.99

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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.