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Finding the Fourth Proportional to 13,944.63, 19,243.08 and 7,656.96

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Solution

The fourth proportional to 13,944.63, 19,243.08 and 7,656.96 is: 10,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944.63 : 19,243.08 = 7,656.96 : x
  2. Step 2: Convert to fraction form
    13,944.63/19,243.08 = 7,656.96/x
  3. Step 3: Cross multiply
    13,944.63x = 19,243.08 × 7,656.96
  4. Step 4: Simplify right side
    13,944.63x = 147,343,493.84
  5. Step 5: Solve for x
    x = 147,343,493.84/13,944.63
  6. Step 6: Final answer
    x = 10,566.33

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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.