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Finding the Fourth Proportional to 18,467.64, 27,702.02 and 7,222.53

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Solution

The fourth proportional to 18,467.64, 27,702.02 and 7,222.53 is: 10,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467.64 : 27,702.02 = 7,222.53 : x
  2. Step 2: Convert to fraction form
    18,467.64/27,702.02 = 7,222.53/x
  3. Step 3: Cross multiply
    18,467.64x = 27,702.02 × 7,222.53
  4. Step 4: Simplify right side
    18,467.64x = 200,078,634.40
  5. Step 5: Solve for x
    x = 200,078,634.40/18,467.64
  6. Step 6: Final answer
    x = 10,834.01

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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.