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Finding the Fourth Proportional to 17,325.74, 23,910 and 9,773.48

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Solution

The fourth proportional to 17,325.74, 23,910 and 9,773.48 is: 13,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325.74 : 23,910 = 9,773.48 : x
  2. Step 2: Convert to fraction form
    17,325.74/23,910 = 9,773.48/x
  3. Step 3: Cross multiply
    17,325.74x = 23,910 × 9,773.48
  4. Step 4: Simplify right side
    17,325.74x = 233,683,906.80
  5. Step 5: Solve for x
    x = 233,683,906.80/17,325.74
  6. Step 6: Final answer
    x = 13,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.