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Finding the Fourth Proportional to 14,649.15, 21,976.99 and 8,071.95

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Solution

The fourth proportional to 14,649.15, 21,976.99 and 8,071.95 is: 12,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.15 : 21,976.99 = 8,071.95 : x
  2. Step 2: Convert to fraction form
    14,649.15/21,976.99 = 8,071.95/x
  3. Step 3: Cross multiply
    14,649.15x = 21,976.99 × 8,071.95
  4. Step 4: Simplify right side
    14,649.15x = 177,397,164.43
  5. Step 5: Solve for x
    x = 177,397,164.43/14,649.15
  6. Step 6: Final answer
    x = 12,109.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.