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Finding the Fourth Proportional to 14,414.66, 21,583.04 and 7,474.58

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Solution

The fourth proportional to 14,414.66, 21,583.04 and 7,474.58 is: 11,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.66 : 21,583.04 = 7,474.58 : x
  2. Step 2: Convert to fraction form
    14,414.66/21,583.04 = 7,474.58/x
  3. Step 3: Cross multiply
    14,414.66x = 21,583.04 × 7,474.58
  4. Step 4: Simplify right side
    14,414.66x = 161,324,159.12
  5. Step 5: Solve for x
    x = 161,324,159.12/14,414.66
  6. Step 6: Final answer
    x = 11,191.67

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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.