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Finding the Fourth Proportional to 14,643.90, 21,952.89 and 6,850.62

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Solution

The fourth proportional to 14,643.90, 21,952.89 and 6,850.62 is: 10,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.90 : 21,952.89 = 6,850.62 : x
  2. Step 2: Convert to fraction form
    14,643.90/21,952.89 = 6,850.62/x
  3. Step 3: Cross multiply
    14,643.90x = 21,952.89 × 6,850.62
  4. Step 4: Simplify right side
    14,643.90x = 150,390,907.29
  5. Step 5: Solve for x
    x = 150,390,907.29/14,643.90
  6. Step 6: Final answer
    x = 10,269.87

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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.