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Finding the Fourth Proportional to 22,126.98, 33,190.47 and 12,886.50

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Solution

The fourth proportional to 22,126.98, 33,190.47 and 12,886.50 is: 19,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,126.98 : 33,190.47 = 12,886.50 : x
  2. Step 2: Convert to fraction form
    22,126.98/33,190.47 = 12,886.50/x
  3. Step 3: Cross multiply
    22,126.98x = 33,190.47 × 12,886.50
  4. Step 4: Simplify right side
    22,126.98x = 427,708,991.66
  5. Step 5: Solve for x
    x = 427,708,991.66/22,126.98
  6. Step 6: Final answer
    x = 19,329.75

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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.