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Finding the Fourth Proportional to 14,654.70, 21,979.20 and 7,150.71

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Solution

The fourth proportional to 14,654.70, 21,979.20 and 7,150.71 is: 10,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.70 : 21,979.20 = 7,150.71 : x
  2. Step 2: Convert to fraction form
    14,654.70/21,979.20 = 7,150.71/x
  3. Step 3: Cross multiply
    14,654.70x = 21,979.20 × 7,150.71
  4. Step 4: Simplify right side
    14,654.70x = 157,166,885.23
  5. Step 5: Solve for x
    x = 157,166,885.23/14,654.70
  6. Step 6: Final answer
    x = 10,724.67

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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.