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Finding the Fourth Proportional to 12,071.38, 16,663.14 and 11,738.46

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Solution

The fourth proportional to 12,071.38, 16,663.14 and 11,738.46 is: 16,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.38 : 16,663.14 = 11,738.46 : x
  2. Step 2: Convert to fraction form
    12,071.38/16,663.14 = 11,738.46/x
  3. Step 3: Cross multiply
    12,071.38x = 16,663.14 × 11,738.46
  4. Step 4: Simplify right side
    12,071.38x = 195,599,602.36
  5. Step 5: Solve for x
    x = 195,599,602.36/12,071.38
  6. Step 6: Final answer
    x = 16,203.58

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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.