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Finding the Fourth Proportional to 22,835.49, 34,255.98 and 8,041.35

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Solution

The fourth proportional to 22,835.49, 34,255.98 and 8,041.35 is: 12,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.49 : 34,255.98 = 8,041.35 : x
  2. Step 2: Convert to fraction form
    22,835.49/34,255.98 = 8,041.35/x
  3. Step 3: Cross multiply
    22,835.49x = 34,255.98 × 8,041.35
  4. Step 4: Simplify right side
    22,835.49x = 275,464,324.77
  5. Step 5: Solve for x
    x = 275,464,324.77/22,835.49
  6. Step 6: Final answer
    x = 12,062.99

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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.