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Finding the Fourth Proportional to 14,211.16, 21,322.89 and 7,629.66

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Solution

The fourth proportional to 14,211.16, 21,322.89 and 7,629.66 is: 11,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.16 : 21,322.89 = 7,629.66 : x
  2. Step 2: Convert to fraction form
    14,211.16/21,322.89 = 7,629.66/x
  3. Step 3: Cross multiply
    14,211.16x = 21,322.89 × 7,629.66
  4. Step 4: Simplify right side
    14,211.16x = 162,686,400.92
  5. Step 5: Solve for x
    x = 162,686,400.92/14,211.16
  6. Step 6: Final answer
    x = 11,447.79

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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.