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Finding the Fourth Proportional to 14,481.90, 19,985.13 and 8,194.14

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Solution

The fourth proportional to 14,481.90, 19,985.13 and 8,194.14 is: 11,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.90 : 19,985.13 = 8,194.14 : x
  2. Step 2: Convert to fraction form
    14,481.90/19,985.13 = 8,194.14/x
  3. Step 3: Cross multiply
    14,481.90x = 19,985.13 × 8,194.14
  4. Step 4: Simplify right side
    14,481.90x = 163,760,953.14
  5. Step 5: Solve for x
    x = 163,760,953.14/14,481.90
  6. Step 6: Final answer
    x = 11,307.97

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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.