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Finding the Fourth Proportional to 22,129.43, 33,194.61 and 7,339.50

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Solution

The fourth proportional to 22,129.43, 33,194.61 and 7,339.50 is: 11,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.43 : 33,194.61 = 7,339.50 : x
  2. Step 2: Convert to fraction form
    22,129.43/33,194.61 = 7,339.50/x
  3. Step 3: Cross multiply
    22,129.43x = 33,194.61 × 7,339.50
  4. Step 4: Simplify right side
    22,129.43x = 243,631,840.10
  5. Step 5: Solve for x
    x = 243,631,840.10/22,129.43
  6. Step 6: Final answer
    x = 11,009.41

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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.