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Finding the Fourth Proportional to 19,848, 27,390.24 and 11,016

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Solution

The fourth proportional to 19,848, 27,390.24 and 11,016 is: 15,202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 27,390.24 = 11,016 : x
  2. Step 2: Convert to fraction form
    19,848/27,390.24 = 11,016/x
  3. Step 3: Cross multiply
    19,848x = 27,390.24 × 11,016
  4. Step 4: Simplify right side
    19,848x = 301,730,883.84
  5. Step 5: Solve for x
    x = 301,730,883.84/19,848
  6. Step 6: Final answer
    x = 15,202.08

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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.