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Finding the Fourth Proportional to 15,794.48, 23,706.05 and 8,405.16

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Solution

The fourth proportional to 15,794.48, 23,706.05 and 8,405.16 is: 12,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.48 : 23,706.05 = 8,405.16 : x
  2. Step 2: Convert to fraction form
    15,794.48/23,706.05 = 8,405.16/x
  3. Step 3: Cross multiply
    15,794.48x = 23,706.05 × 8,405.16
  4. Step 4: Simplify right side
    15,794.48x = 199,253,143.22
  5. Step 5: Solve for x
    x = 199,253,143.22/15,794.48
  6. Step 6: Final answer
    x = 12,615.37

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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.