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Finding the Fourth Proportional to 22,467.50, 33,702.06 and 8,426.10

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Solution

The fourth proportional to 22,467.50, 33,702.06 and 8,426.10 is: 12,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467.50 : 33,702.06 = 8,426.10 : x
  2. Step 2: Convert to fraction form
    22,467.50/33,702.06 = 8,426.10/x
  3. Step 3: Cross multiply
    22,467.50x = 33,702.06 × 8,426.10
  4. Step 4: Simplify right side
    22,467.50x = 283,976,927.77
  5. Step 5: Solve for x
    x = 283,976,927.77/22,467.50
  6. Step 6: Final answer
    x = 12,639.46

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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.