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Finding the Fourth Proportional to 14,481.61, 19,984.93 and 8,193.99

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Solution

The fourth proportional to 14,481.61, 19,984.93 and 8,193.99 is: 11,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.61 : 19,984.93 = 8,193.99 : x
  2. Step 2: Convert to fraction form
    14,481.61/19,984.93 = 8,193.99/x
  3. Step 3: Cross multiply
    14,481.61x = 19,984.93 × 8,193.99
  4. Step 4: Simplify right side
    14,481.61x = 163,756,221.14
  5. Step 5: Solve for x
    x = 163,756,221.14/14,481.61
  6. Step 6: Final answer
    x = 11,307.87

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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.