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Finding the Fourth Proportional to 18,588.50, 27,884.05 and 7,495.30

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Solution

The fourth proportional to 18,588.50, 27,884.05 and 7,495.30 is: 11,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.50 : 27,884.05 = 7,495.30 : x
  2. Step 2: Convert to fraction form
    18,588.50/27,884.05 = 7,495.30/x
  3. Step 3: Cross multiply
    18,588.50x = 27,884.05 × 7,495.30
  4. Step 4: Simplify right side
    18,588.50x = 208,999,336.08
  5. Step 5: Solve for x
    x = 208,999,336.08/18,588.50
  6. Step 6: Final answer
    x = 11,243.47

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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.