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Finding the Fourth Proportional to 18,157.44, 27,188.64 and 11,897.76

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Solution

The fourth proportional to 18,157.44, 27,188.64 and 11,897.76 is: 17,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,157.44 : 27,188.64 = 11,897.76 : x
  2. Step 2: Convert to fraction form
    18,157.44/27,188.64 = 11,897.76/x
  3. Step 3: Cross multiply
    18,157.44x = 27,188.64 × 11,897.76
  4. Step 4: Simplify right side
    18,157.44x = 323,483,913.45
  5. Step 5: Solve for x
    x = 323,483,913.45/18,157.44
  6. Step 6: Final answer
    x = 17,815.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.