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Finding the Fourth Proportional to 22,175.50, 30,602.23 and 12,239.50

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Solution

The fourth proportional to 22,175.50, 30,602.23 and 12,239.50 is: 16,890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.50 : 30,602.23 = 12,239.50 : x
  2. Step 2: Convert to fraction form
    22,175.50/30,602.23 = 12,239.50/x
  3. Step 3: Cross multiply
    22,175.50x = 30,602.23 × 12,239.50
  4. Step 4: Simplify right side
    22,175.50x = 374,555,994.09
  5. Step 5: Solve for x
    x = 374,555,994.09/22,175.50
  6. Step 6: Final answer
    x = 16,890.53

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1.5x scale

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.