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Finding the Fourth Proportional to 13,200.54, 19,801.71 and 3,840.57

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Solution

The fourth proportional to 13,200.54, 19,801.71 and 3,840.57 is: 5,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.54 : 19,801.71 = 3,840.57 : x
  2. Step 2: Convert to fraction form
    13,200.54/19,801.71 = 3,840.57/x
  3. Step 3: Cross multiply
    13,200.54x = 19,801.71 × 3,840.57
  4. Step 4: Simplify right side
    13,200.54x = 76,049,853.37
  5. Step 5: Solve for x
    x = 76,049,853.37/13,200.54
  6. Step 6: Final answer
    x = 5,761.12

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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.