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Finding the Fourth Proportional to 14,481.50, 19,984.49 and 8,193.74

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Solution

The fourth proportional to 14,481.50, 19,984.49 and 8,193.74 is: 11,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.50 : 19,984.49 = 8,193.74 : x
  2. Step 2: Convert to fraction form
    14,481.50/19,984.49 = 8,193.74/x
  3. Step 3: Cross multiply
    14,481.50x = 19,984.49 × 8,193.74
  4. Step 4: Simplify right side
    14,481.50x = 163,747,715.09
  5. Step 5: Solve for x
    x = 163,747,715.09/14,481.50
  6. Step 6: Final answer
    x = 11,307.37

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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.