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Finding the Fourth Proportional to 14,054.96, 21,082.40 and 4,194

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Solution

The fourth proportional to 14,054.96, 21,082.40 and 4,194 is: 6,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.96 : 21,082.40 = 4,194 : x
  2. Step 2: Convert to fraction form
    14,054.96/21,082.40 = 4,194/x
  3. Step 3: Cross multiply
    14,054.96x = 21,082.40 × 4,194
  4. Step 4: Simplify right side
    14,054.96x = 88,419,585.60
  5. Step 5: Solve for x
    x = 88,419,585.60/14,054.96
  6. Step 6: Final answer
    x = 6,290.99

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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.