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Finding the Fourth Proportional to 24,976.26, 37,461.78 and 9,395.10

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Solution

The fourth proportional to 24,976.26, 37,461.78 and 9,395.10 is: 14,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.26 : 37,461.78 = 9,395.10 : x
  2. Step 2: Convert to fraction form
    24,976.26/37,461.78 = 9,395.10/x
  3. Step 3: Cross multiply
    24,976.26x = 37,461.78 × 9,395.10
  4. Step 4: Simplify right side
    24,976.26x = 351,957,169.28
  5. Step 5: Solve for x
    x = 351,957,169.28/24,976.26
  6. Step 6: Final answer
    x = 14,091.67

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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.