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Finding the Fourth Proportional to 14,257.44, 19,656 and 11,600.64

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Solution

The fourth proportional to 14,257.44, 19,656 and 11,600.64 is: 15,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.44 : 19,656 = 11,600.64 : x
  2. Step 2: Convert to fraction form
    14,257.44/19,656 = 11,600.64/x
  3. Step 3: Cross multiply
    14,257.44x = 19,656 × 11,600.64
  4. Step 4: Simplify right side
    14,257.44x = 228,022,179.84
  5. Step 5: Solve for x
    x = 228,022,179.84/14,257.44
  6. Step 6: Final answer
    x = 15,993.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.