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Finding the Fourth Proportional to 14,672.59, 21,971.32 and 8,091.48

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Solution

The fourth proportional to 14,672.59, 21,971.32 and 8,091.48 is: 12,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.59 : 21,971.32 = 8,091.48 : x
  2. Step 2: Convert to fraction form
    14,672.59/21,971.32 = 8,091.48/x
  3. Step 3: Cross multiply
    14,672.59x = 21,971.32 × 8,091.48
  4. Step 4: Simplify right side
    14,672.59x = 177,780,496.35
  5. Step 5: Solve for x
    x = 177,780,496.35/14,672.59
  6. Step 6: Final answer
    x = 12,116.50

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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.