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Finding the Fourth Proportional to 14,661.44, 21,994.32 and 4,274

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Solution

The fourth proportional to 14,661.44, 21,994.32 and 4,274 is: 6,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.44 : 21,994.32 = 4,274 : x
  2. Step 2: Convert to fraction form
    14,661.44/21,994.32 = 4,274/x
  3. Step 3: Cross multiply
    14,661.44x = 21,994.32 × 4,274
  4. Step 4: Simplify right side
    14,661.44x = 94,003,723.68
  5. Step 5: Solve for x
    x = 94,003,723.68/14,661.44
  6. Step 6: Final answer
    x = 6,411.63

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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.