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Finding the Fourth Proportional to 23,673.74, 35,504.46 and 7,029.86

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Solution

The fourth proportional to 23,673.74, 35,504.46 and 7,029.86 is: 10,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.74 : 35,504.46 = 7,029.86 : x
  2. Step 2: Convert to fraction form
    23,673.74/35,504.46 = 7,029.86/x
  3. Step 3: Cross multiply
    23,673.74x = 35,504.46 × 7,029.86
  4. Step 4: Simplify right side
    23,673.74x = 249,591,205.65
  5. Step 5: Solve for x
    x = 249,591,205.65/23,673.74
  6. Step 6: Final answer
    x = 10,542.96

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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.