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Finding the Fourth Proportional to 13,224.58, 19,843.35 and 5,433.46

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Solution

The fourth proportional to 13,224.58, 19,843.35 and 5,433.46 is: 8,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.58 : 19,843.35 = 5,433.46 : x
  2. Step 2: Convert to fraction form
    13,224.58/19,843.35 = 5,433.46/x
  3. Step 3: Cross multiply
    13,224.58x = 19,843.35 × 5,433.46
  4. Step 4: Simplify right side
    13,224.58x = 107,818,048.49
  5. Step 5: Solve for x
    x = 107,818,048.49/13,224.58
  6. Step 6: Final answer
    x = 8,152.85

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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.