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Finding the Fourth Proportional to 14,141.75, 21,212.64 and 4,907.75

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Solution

The fourth proportional to 14,141.75, 21,212.64 and 4,907.75 is: 7,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.75 : 21,212.64 = 4,907.75 : x
  2. Step 2: Convert to fraction form
    14,141.75/21,212.64 = 4,907.75/x
  3. Step 3: Cross multiply
    14,141.75x = 21,212.64 × 4,907.75
  4. Step 4: Simplify right side
    14,141.75x = 104,106,333.96
  5. Step 5: Solve for x
    x = 104,106,333.96/14,141.75
  6. Step 6: Final answer
    x = 7,361.63

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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.