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Finding the Fourth Proportional to 23,921, 35,876.02 and 7,049.64

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Solution

The fourth proportional to 23,921, 35,876.02 and 7,049.64 is: 10,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921 : 35,876.02 = 7,049.64 : x
  2. Step 2: Convert to fraction form
    23,921/35,876.02 = 7,049.64/x
  3. Step 3: Cross multiply
    23,921x = 35,876.02 × 7,049.64
  4. Step 4: Simplify right side
    23,921x = 252,913,025.63
  5. Step 5: Solve for x
    x = 252,913,025.63/23,921
  6. Step 6: Final answer
    x = 10,572.85

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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.