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Finding the Fourth Proportional to 14,567.14, 21,850.72 and 6,241.75

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Solution

The fourth proportional to 14,567.14, 21,850.72 and 6,241.75 is: 9,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.14 : 21,850.72 = 6,241.75 : x
  2. Step 2: Convert to fraction form
    14,567.14/21,850.72 = 6,241.75/x
  3. Step 3: Cross multiply
    14,567.14x = 21,850.72 × 6,241.75
  4. Step 4: Simplify right side
    14,567.14x = 136,386,700.35
  5. Step 5: Solve for x
    x = 136,386,700.35/14,567.14
  6. Step 6: Final answer
    x = 9,362.63

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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.