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Finding the Fourth Proportional to 19,926, 27,497.88 and 11,094

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Solution

The fourth proportional to 19,926, 27,497.88 and 11,094 is: 15,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926 : 27,497.88 = 11,094 : x
  2. Step 2: Convert to fraction form
    19,926/27,497.88 = 11,094/x
  3. Step 3: Cross multiply
    19,926x = 27,497.88 × 11,094
  4. Step 4: Simplify right side
    19,926x = 305,061,480.72
  5. Step 5: Solve for x
    x = 305,061,480.72/19,926
  6. Step 6: Final answer
    x = 15,309.72

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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.