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Finding the Fourth Proportional to 23,222.58, 34,835.22 and 8,433.06

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Solution

The fourth proportional to 23,222.58, 34,835.22 and 8,433.06 is: 12,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.58 : 34,835.22 = 8,433.06 : x
  2. Step 2: Convert to fraction form
    23,222.58/34,835.22 = 8,433.06/x
  3. Step 3: Cross multiply
    23,222.58x = 34,835.22 × 8,433.06
  4. Step 4: Simplify right side
    23,222.58x = 293,767,500.37
  5. Step 5: Solve for x
    x = 293,767,500.37/23,222.58
  6. Step 6: Final answer
    x = 12,650.08

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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.