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Finding the Fourth Proportional to 19,606, 27,056.44 and 11,222.32

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Solution

The fourth proportional to 19,606, 27,056.44 and 11,222.32 is: 15,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606 : 27,056.44 = 11,222.32 : x
  2. Step 2: Convert to fraction form
    19,606/27,056.44 = 11,222.32/x
  3. Step 3: Cross multiply
    19,606x = 27,056.44 × 11,222.32
  4. Step 4: Simplify right side
    19,606x = 303,636,027.74
  5. Step 5: Solve for x
    x = 303,636,027.74/19,606
  6. Step 6: Final answer
    x = 15,486.89

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Why These Related Problems?

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