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Finding the Fourth Proportional to 12,441.60, 18,659.16 and 4,122.36

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Solution

The fourth proportional to 12,441.60, 18,659.16 and 4,122.36 is: 6,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.60 : 18,659.16 = 4,122.36 : x
  2. Step 2: Convert to fraction form
    12,441.60/18,659.16 = 4,122.36/x
  3. Step 3: Cross multiply
    12,441.60x = 18,659.16 × 4,122.36
  4. Step 4: Simplify right side
    12,441.60x = 76,919,774.82
  5. Step 5: Solve for x
    x = 76,919,774.82/12,441.60
  6. Step 6: Final answer
    x = 6,182.47

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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.