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Finding the Fourth Proportional to 15,601, 23,412.42 and 6,838.60

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Solution

The fourth proportional to 15,601, 23,412.42 and 6,838.60 is: 10,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601 : 23,412.42 = 6,838.60 : x
  2. Step 2: Convert to fraction form
    15,601/23,412.42 = 6,838.60/x
  3. Step 3: Cross multiply
    15,601x = 23,412.42 × 6,838.60
  4. Step 4: Simplify right side
    15,601x = 160,108,175.41
  5. Step 5: Solve for x
    x = 160,108,175.41/15,601
  6. Step 6: Final answer
    x = 10,262.69

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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.