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Finding the Fourth Proportional to 38,476.26, 57,709.62 and 10,398.60

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Solution

The fourth proportional to 38,476.26, 57,709.62 and 10,398.60 is: 15,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.26 : 57,709.62 = 10,398.60 : x
  2. Step 2: Convert to fraction form
    38,476.26/57,709.62 = 10,398.60/x
  3. Step 3: Cross multiply
    38,476.26x = 57,709.62 × 10,398.60
  4. Step 4: Simplify right side
    38,476.26x = 600,099,254.53
  5. Step 5: Solve for x
    x = 600,099,254.53/38,476.26
  6. Step 6: Final answer
    x = 15,596.61

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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.