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Finding the Fourth Proportional to 12,449.48, 18,674.28 and 4,656.56

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Solution

The fourth proportional to 12,449.48, 18,674.28 and 4,656.56 is: 6,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.48 : 18,674.28 = 4,656.56 : x
  2. Step 2: Convert to fraction form
    12,449.48/18,674.28 = 4,656.56/x
  3. Step 3: Cross multiply
    12,449.48x = 18,674.28 × 4,656.56
  4. Step 4: Simplify right side
    12,449.48x = 86,957,905.28
  5. Step 5: Solve for x
    x = 86,957,905.28/12,449.48
  6. Step 6: Final answer
    x = 6,984.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.