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Finding the Fourth Proportional to 13,006.58, 19,507.82 and 4,241.42

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Solution

The fourth proportional to 13,006.58, 19,507.82 and 4,241.42 is: 6,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.58 : 19,507.82 = 4,241.42 : x
  2. Step 2: Convert to fraction form
    13,006.58/19,507.82 = 4,241.42/x
  3. Step 3: Cross multiply
    13,006.58x = 19,507.82 × 4,241.42
  4. Step 4: Simplify right side
    13,006.58x = 82,740,857.90
  5. Step 5: Solve for x
    x = 82,740,857.90/13,006.58
  6. Step 6: Final answer
    x = 6,361.46

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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.