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Finding the Fourth Proportional to 15,632.44, 23,452.50 and 7,195

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Solution

The fourth proportional to 15,632.44, 23,452.50 and 7,195 is: 10,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.44 : 23,452.50 = 7,195 : x
  2. Step 2: Convert to fraction form
    15,632.44/23,452.50 = 7,195/x
  3. Step 3: Cross multiply
    15,632.44x = 23,452.50 × 7,195
  4. Step 4: Simplify right side
    15,632.44x = 168,740,737.50
  5. Step 5: Solve for x
    x = 168,740,737.50/15,632.44
  6. Step 6: Final answer
    x = 10,794.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.