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Finding the Fourth Proportional to 23,245, 34,873.42 and 6,829

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Solution

The fourth proportional to 23,245, 34,873.42 and 6,829 is: 10,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245 : 34,873.42 = 6,829 : x
  2. Step 2: Convert to fraction form
    23,245/34,873.42 = 6,829/x
  3. Step 3: Cross multiply
    23,245x = 34,873.42 × 6,829
  4. Step 4: Simplify right side
    23,245x = 238,150,585.18
  5. Step 5: Solve for x
    x = 238,150,585.18/23,245
  6. Step 6: Final answer
    x = 10,245.24

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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.