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Finding the Fourth Proportional to 15,578.72, 23,367.12 and 6,344.48

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Solution

The fourth proportional to 15,578.72, 23,367.12 and 6,344.48 is: 9,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.72 : 23,367.12 = 6,344.48 : x
  2. Step 2: Convert to fraction form
    15,578.72/23,367.12 = 6,344.48/x
  3. Step 3: Cross multiply
    15,578.72x = 23,367.12 × 6,344.48
  4. Step 4: Simplify right side
    15,578.72x = 148,252,225.50
  5. Step 5: Solve for x
    x = 148,252,225.50/15,578.72
  6. Step 6: Final answer
    x = 9,516.33

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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.