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Finding the Fourth Proportional to 23,310.70, 34,978.20 and 10,164.40

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Solution

The fourth proportional to 23,310.70, 34,978.20 and 10,164.40 is: 15,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310.70 : 34,978.20 = 10,164.40 : x
  2. Step 2: Convert to fraction form
    23,310.70/34,978.20 = 10,164.40/x
  3. Step 3: Cross multiply
    23,310.70x = 34,978.20 × 10,164.40
  4. Step 4: Simplify right side
    23,310.70x = 355,532,416.08
  5. Step 5: Solve for x
    x = 355,532,416.08/23,310.70
  6. Step 6: Final answer
    x = 15,251.90

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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.