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Finding the Fourth Proportional to 23,435.79, 35,156.42 and 8,233.69

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Solution

The fourth proportional to 23,435.79, 35,156.42 and 8,233.69 is: 12,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.79 : 35,156.42 = 8,233.69 : x
  2. Step 2: Convert to fraction form
    23,435.79/35,156.42 = 8,233.69/x
  3. Step 3: Cross multiply
    23,435.79x = 35,156.42 × 8,233.69
  4. Step 4: Simplify right side
    23,435.79x = 289,467,031.52
  5. Step 5: Solve for x
    x = 289,467,031.52/23,435.79
  6. Step 6: Final answer
    x = 12,351.50

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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.