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Finding the Fourth Proportional to 12,188, 18,321.18 and 11,321.40

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Solution

The fourth proportional to 12,188, 18,321.18 and 11,321.40 is: 17,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188 : 18,321.18 = 11,321.40 : x
  2. Step 2: Convert to fraction form
    12,188/18,321.18 = 11,321.40/x
  3. Step 3: Cross multiply
    12,188x = 18,321.18 × 11,321.40
  4. Step 4: Simplify right side
    12,188x = 207,421,407.25
  5. Step 5: Solve for x
    x = 207,421,407.25/12,188
  6. Step 6: Final answer
    x = 17,018.49

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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.