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Finding the Fourth Proportional to 22,465.25, 33,697.86 and 7,674.28

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Solution

The fourth proportional to 22,465.25, 33,697.86 and 7,674.28 is: 11,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.25 : 33,697.86 = 7,674.28 : x
  2. Step 2: Convert to fraction form
    22,465.25/33,697.86 = 7,674.28/x
  3. Step 3: Cross multiply
    22,465.25x = 33,697.86 × 7,674.28
  4. Step 4: Simplify right side
    22,465.25x = 258,606,700.02
  5. Step 5: Solve for x
    x = 258,606,700.02/22,465.25
  6. Step 6: Final answer
    x = 11,511.41

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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.