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Finding the Fourth Proportional to 14,233.68, 19,637.91 and 7,944.84

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Solution

The fourth proportional to 14,233.68, 19,637.91 and 7,944.84 is: 10,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.68 : 19,637.91 = 7,944.84 : x
  2. Step 2: Convert to fraction form
    14,233.68/19,637.91 = 7,944.84/x
  3. Step 3: Cross multiply
    14,233.68x = 19,637.91 × 7,944.84
  4. Step 4: Simplify right side
    14,233.68x = 156,020,052.88
  5. Step 5: Solve for x
    x = 156,020,052.88/14,233.68
  6. Step 6: Final answer
    x = 10,961.33

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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.