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Finding the Fourth Proportional to 22,602.26, 33,907.65 and 9,094.46

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Solution

The fourth proportional to 22,602.26, 33,907.65 and 9,094.46 is: 13,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.26 : 33,907.65 = 9,094.46 : x
  2. Step 2: Convert to fraction form
    22,602.26/33,907.65 = 9,094.46/x
  3. Step 3: Cross multiply
    22,602.26x = 33,907.65 × 9,094.46
  4. Step 4: Simplify right side
    22,602.26x = 308,371,562.98
  5. Step 5: Solve for x
    x = 308,371,562.98/22,602.26
  6. Step 6: Final answer
    x = 13,643.39

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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.