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Finding the Fourth Proportional to 15,230.08, 22,847 and 7,433

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Solution

The fourth proportional to 15,230.08, 22,847 and 7,433 is: 11,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.08 : 22,847 = 7,433 : x
  2. Step 2: Convert to fraction form
    15,230.08/22,847 = 7,433/x
  3. Step 3: Cross multiply
    15,230.08x = 22,847 × 7,433
  4. Step 4: Simplify right side
    15,230.08x = 169,821,751
  5. Step 5: Solve for x
    x = 169,821,751/15,230.08
  6. Step 6: Final answer
    x = 11,150.42

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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.