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Finding the Fourth Proportional to 22,409.42, 33,625.47 and 9,271.22

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Solution

The fourth proportional to 22,409.42, 33,625.47 and 9,271.22 is: 13,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.42 : 33,625.47 = 9,271.22 : x
  2. Step 2: Convert to fraction form
    22,409.42/33,625.47 = 9,271.22/x
  3. Step 3: Cross multiply
    22,409.42x = 33,625.47 × 9,271.22
  4. Step 4: Simplify right side
    22,409.42x = 311,749,129.97
  5. Step 5: Solve for x
    x = 311,749,129.97/22,409.42
  6. Step 6: Final answer
    x = 13,911.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.