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Finding the Fourth Proportional to 23,367.32, 35,048.10 and 9,516.44

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Solution

The fourth proportional to 23,367.32, 35,048.10 and 9,516.44 is: 14,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,367.32 : 35,048.10 = 9,516.44 : x
  2. Step 2: Convert to fraction form
    23,367.32/35,048.10 = 9,516.44/x
  3. Step 3: Cross multiply
    23,367.32x = 35,048.10 × 9,516.44
  4. Step 4: Simplify right side
    23,367.32x = 333,533,140.76
  5. Step 5: Solve for x
    x = 333,533,140.76/23,367.32
  6. Step 6: Final answer
    x = 14,273.49

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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.