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Finding the Fourth Proportional to 14,324.99, 19,769.67 and 7,952.18

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Solution

The fourth proportional to 14,324.99, 19,769.67 and 7,952.18 is: 10,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.99 : 19,769.67 = 7,952.18 : x
  2. Step 2: Convert to fraction form
    14,324.99/19,769.67 = 7,952.18/x
  3. Step 3: Cross multiply
    14,324.99x = 19,769.67 × 7,952.18
  4. Step 4: Simplify right side
    14,324.99x = 157,211,974.38
  5. Step 5: Solve for x
    x = 157,211,974.38/14,324.99
  6. Step 6: Final answer
    x = 10,974.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.