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Finding the Fourth Proportional to 14,116.98, 21,171.14 and 9,762.42

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Solution

The fourth proportional to 14,116.98, 21,171.14 and 9,762.42 is: 14,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.98 : 21,171.14 = 9,762.42 : x
  2. Step 2: Convert to fraction form
    14,116.98/21,171.14 = 9,762.42/x
  3. Step 3: Cross multiply
    14,116.98x = 21,171.14 × 9,762.42
  4. Step 4: Simplify right side
    14,116.98x = 206,681,560.56
  5. Step 5: Solve for x
    x = 206,681,560.56/14,116.98
  6. Step 6: Final answer
    x = 14,640.64

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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.