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Finding the Fourth Proportional to 22,672, 34,009.96 and 6,256

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Solution

The fourth proportional to 22,672, 34,009.96 and 6,256 is: 9,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672 : 34,009.96 = 6,256 : x
  2. Step 2: Convert to fraction form
    22,672/34,009.96 = 6,256/x
  3. Step 3: Cross multiply
    22,672x = 34,009.96 × 6,256
  4. Step 4: Simplify right side
    22,672x = 212,766,309.76
  5. Step 5: Solve for x
    x = 212,766,309.76/22,672
  6. Step 6: Final answer
    x = 9,384.54

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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.