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Finding the Fourth Proportional to 13,202.42, 19,801.46 and 3,966.26

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Solution

The fourth proportional to 13,202.42, 19,801.46 and 3,966.26 is: 5,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.42 : 19,801.46 = 3,966.26 : x
  2. Step 2: Convert to fraction form
    13,202.42/19,801.46 = 3,966.26/x
  3. Step 3: Cross multiply
    13,202.42x = 19,801.46 × 3,966.26
  4. Step 4: Simplify right side
    13,202.42x = 78,537,738.74
  5. Step 5: Solve for x
    x = 78,537,738.74/13,202.42
  6. Step 6: Final answer
    x = 5,948.74

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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.