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Finding the Fourth Proportional to 23,898, 35,847 and 10,047

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Solution

The fourth proportional to 23,898, 35,847 and 10,047 is: 15,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898 : 35,847 = 10,047 : x
  2. Step 2: Convert to fraction form
    23,898/35,847 = 10,047/x
  3. Step 3: Cross multiply
    23,898x = 35,847 × 10,047
  4. Step 4: Simplify right side
    23,898x = 360,154,809
  5. Step 5: Solve for x
    x = 360,154,809/23,898
  6. Step 6: Final answer
    x = 15,070.50

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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.