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Finding the Fourth Proportional to 22,740.12, 34,109.94 and 8,889

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Solution

The fourth proportional to 22,740.12, 34,109.94 and 8,889 is: 13,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.12 : 34,109.94 = 8,889 : x
  2. Step 2: Convert to fraction form
    22,740.12/34,109.94 = 8,889/x
  3. Step 3: Cross multiply
    22,740.12x = 34,109.94 × 8,889
  4. Step 4: Simplify right side
    22,740.12x = 303,203,256.66
  5. Step 5: Solve for x
    x = 303,203,256.66/22,740.12
  6. Step 6: Final answer
    x = 13,333.41

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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.