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Finding the Fourth Proportional to 13,911.86, 19,199.75 and 7,944.44

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Solution

The fourth proportional to 13,911.86, 19,199.75 and 7,944.44 is: 10,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.86 : 19,199.75 = 7,944.44 : x
  2. Step 2: Convert to fraction form
    13,911.86/19,199.75 = 7,944.44/x
  3. Step 3: Cross multiply
    13,911.86x = 19,199.75 × 7,944.44
  4. Step 4: Simplify right side
    13,911.86x = 152,531,126.17
  5. Step 5: Solve for x
    x = 152,531,126.17/13,911.86
  6. Step 6: Final answer
    x = 10,964.11

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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.