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Finding the Fourth Proportional to 23,094.66, 34,644.72 and 8,302.34

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Solution

The fourth proportional to 23,094.66, 34,644.72 and 8,302.34 is: 12,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.66 : 34,644.72 = 8,302.34 : x
  2. Step 2: Convert to fraction form
    23,094.66/34,644.72 = 8,302.34/x
  3. Step 3: Cross multiply
    23,094.66x = 34,644.72 × 8,302.34
  4. Step 4: Simplify right side
    23,094.66x = 287,632,244.64
  5. Step 5: Solve for x
    x = 287,632,244.64/23,094.66
  6. Step 6: Final answer
    x = 12,454.49

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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.