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Finding the Fourth Proportional to 12,634.84, 18,968.74 and 8,493.40

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Solution

The fourth proportional to 12,634.84, 18,968.74 and 8,493.40 is: 12,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.84 : 18,968.74 = 8,493.40 : x
  2. Step 2: Convert to fraction form
    12,634.84/18,968.74 = 8,493.40/x
  3. Step 3: Cross multiply
    12,634.84x = 18,968.74 × 8,493.40
  4. Step 4: Simplify right side
    12,634.84x = 161,109,096.32
  5. Step 5: Solve for x
    x = 161,109,096.32/12,634.84
  6. Step 6: Final answer
    x = 12,751.18

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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.