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Finding the Fourth Proportional to 22,283.24, 33,411.84 and 8,433.32

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Solution

The fourth proportional to 22,283.24, 33,411.84 and 8,433.32 is: 12,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.24 : 33,411.84 = 8,433.32 : x
  2. Step 2: Convert to fraction form
    22,283.24/33,411.84 = 8,433.32/x
  3. Step 3: Cross multiply
    22,283.24x = 33,411.84 × 8,433.32
  4. Step 4: Simplify right side
    22,283.24x = 281,772,738.51
  5. Step 5: Solve for x
    x = 281,772,738.51/22,283.24
  6. Step 6: Final answer
    x = 12,645.05

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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.