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Finding the Fourth Proportional to 12,709.82, 19,162.24 and 11,852.31

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Solution

The fourth proportional to 12,709.82, 19,162.24 and 11,852.31 is: 17,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.82 : 19,162.24 = 11,852.31 : x
  2. Step 2: Convert to fraction form
    12,709.82/19,162.24 = 11,852.31/x
  3. Step 3: Cross multiply
    12,709.82x = 19,162.24 × 11,852.31
  4. Step 4: Simplify right side
    12,709.82x = 227,116,749.51
  5. Step 5: Solve for x
    x = 227,116,749.51/12,709.82
  6. Step 6: Final answer
    x = 17,869.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.