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Finding the Fourth Proportional to 14,261.46, 21,400.31 and 7,241.87

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Solution

The fourth proportional to 14,261.46, 21,400.31 and 7,241.87 is: 10,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.46 : 21,400.31 = 7,241.87 : x
  2. Step 2: Convert to fraction form
    14,261.46/21,400.31 = 7,241.87/x
  3. Step 3: Cross multiply
    14,261.46x = 21,400.31 × 7,241.87
  4. Step 4: Simplify right side
    14,261.46x = 154,978,344.08
  5. Step 5: Solve for x
    x = 154,978,344.08/14,261.46
  6. Step 6: Final answer
    x = 10,866.93

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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.