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Finding the Fourth Proportional to 14,324.50, 19,767.99 and 7,951.24

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Solution

The fourth proportional to 14,324.50, 19,767.99 and 7,951.24 is: 10,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.50 : 19,767.99 = 7,951.24 : x
  2. Step 2: Convert to fraction form
    14,324.50/19,767.99 = 7,951.24/x
  3. Step 3: Cross multiply
    14,324.50x = 19,767.99 × 7,951.24
  4. Step 4: Simplify right side
    14,324.50x = 157,180,032.81
  5. Step 5: Solve for x
    x = 157,180,032.81/14,324.50
  6. Step 6: Final answer
    x = 10,972.81

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1.5x scale

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.