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Finding the Fourth Proportional to 20,222.96, 27,895 and 13,924.40

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Solution

The fourth proportional to 20,222.96, 27,895 and 13,924.40 is: 19,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.96 : 27,895 = 13,924.40 : x
  2. Step 2: Convert to fraction form
    20,222.96/27,895 = 13,924.40/x
  3. Step 3: Cross multiply
    20,222.96x = 27,895 × 13,924.40
  4. Step 4: Simplify right side
    20,222.96x = 388,421,138
  5. Step 5: Solve for x
    x = 388,421,138/20,222.96
  6. Step 6: Final answer
    x = 19,206.94

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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.