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Finding the Fourth Proportional to 11,967.58, 17,865.86 and 11,884.96

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Solution

The fourth proportional to 11,967.58, 17,865.86 and 11,884.96 is: 17,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.58 : 17,865.86 = 11,884.96 : x
  2. Step 2: Convert to fraction form
    11,967.58/17,865.86 = 11,884.96/x
  3. Step 3: Cross multiply
    11,967.58x = 17,865.86 × 11,884.96
  4. Step 4: Simplify right side
    11,967.58x = 212,335,031.47
  5. Step 5: Solve for x
    x = 212,335,031.47/11,967.58
  6. Step 6: Final answer
    x = 17,742.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.