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Finding the Fourth Proportional to 14,612.84, 20,168.35 and 8,241.38

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Solution

The fourth proportional to 14,612.84, 20,168.35 and 8,241.38 is: 11,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.84 : 20,168.35 = 8,241.38 : x
  2. Step 2: Convert to fraction form
    14,612.84/20,168.35 = 8,241.38/x
  3. Step 3: Cross multiply
    14,612.84x = 20,168.35 × 8,241.38
  4. Step 4: Simplify right side
    14,612.84x = 166,214,990.51
  5. Step 5: Solve for x
    x = 166,214,990.51/14,612.84
  6. Step 6: Final answer
    x = 11,374.59

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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.