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Finding the Fourth Proportional to 18,092.50, 27,146.51 and 9,333.57

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Solution

The fourth proportional to 18,092.50, 27,146.51 and 9,333.57 is: 14,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092.50 : 27,146.51 = 9,333.57 : x
  2. Step 2: Convert to fraction form
    18,092.50/27,146.51 = 9,333.57/x
  3. Step 3: Cross multiply
    18,092.50x = 27,146.51 × 9,333.57
  4. Step 4: Simplify right side
    18,092.50x = 253,373,851.34
  5. Step 5: Solve for x
    x = 253,373,851.34/18,092.50
  6. Step 6: Final answer
    x = 14,004.36

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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.