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Finding the Fourth Proportional to 22,322.24, 33,477.72 and 8,274.54

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Solution

The fourth proportional to 22,322.24, 33,477.72 and 8,274.54 is: 12,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.24 : 33,477.72 = 8,274.54 : x
  2. Step 2: Convert to fraction form
    22,322.24/33,477.72 = 8,274.54/x
  3. Step 3: Cross multiply
    22,322.24x = 33,477.72 × 8,274.54
  4. Step 4: Simplify right side
    22,322.24x = 277,012,702.22
  5. Step 5: Solve for x
    x = 277,012,702.22/22,322.24
  6. Step 6: Final answer
    x = 12,409.72

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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.