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Finding the Fourth Proportional to 22,435.72, 30,959.86 and 12,362.44

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Solution

The fourth proportional to 22,435.72, 30,959.86 and 12,362.44 is: 17,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,435.72 : 30,959.86 = 12,362.44 : x
  2. Step 2: Convert to fraction form
    22,435.72/30,959.86 = 12,362.44/x
  3. Step 3: Cross multiply
    22,435.72x = 30,959.86 × 12,362.44
  4. Step 4: Simplify right side
    22,435.72x = 382,739,411.66
  5. Step 5: Solve for x
    x = 382,739,411.66/22,435.72
  6. Step 6: Final answer
    x = 17,059.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.