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Finding the Fourth Proportional to 22,846.41, 34,255.89 and 9,503.35

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Solution

The fourth proportional to 22,846.41, 34,255.89 and 9,503.35 is: 14,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.41 : 34,255.89 = 9,503.35 : x
  2. Step 2: Convert to fraction form
    22,846.41/34,255.89 = 9,503.35/x
  3. Step 3: Cross multiply
    22,846.41x = 34,255.89 × 9,503.35
  4. Step 4: Simplify right side
    22,846.41x = 325,545,712.23
  5. Step 5: Solve for x
    x = 325,545,712.23/22,846.41
  6. Step 6: Final answer
    x = 14,249.32

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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.