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Finding the Fourth Proportional to 12,634.56, 18,936 and 9,723.84

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Solution

The fourth proportional to 12,634.56, 18,936 and 9,723.84 is: 14,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.56 : 18,936 = 9,723.84 : x
  2. Step 2: Convert to fraction form
    12,634.56/18,936 = 9,723.84/x
  3. Step 3: Cross multiply
    12,634.56x = 18,936 × 9,723.84
  4. Step 4: Simplify right side
    12,634.56x = 184,130,634.24
  5. Step 5: Solve for x
    x = 184,130,634.24/12,634.56
  6. Step 6: Final answer
    x = 14,573.57

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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.