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Finding the Fourth Proportional to 14,212.56, 21,319.81 and 7,967.87

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Solution

The fourth proportional to 14,212.56, 21,319.81 and 7,967.87 is: 11,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.56 : 21,319.81 = 7,967.87 : x
  2. Step 2: Convert to fraction form
    14,212.56/21,319.81 = 7,967.87/x
  3. Step 3: Cross multiply
    14,212.56x = 21,319.81 × 7,967.87
  4. Step 4: Simplify right side
    14,212.56x = 169,873,427.94
  5. Step 5: Solve for x
    x = 169,873,427.94/14,212.56
  6. Step 6: Final answer
    x = 11,952.34

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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.