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Finding the Fourth Proportional to 18,523.50, 27,785.25 and 4,672.50

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Solution

The fourth proportional to 18,523.50, 27,785.25 and 4,672.50 is: 7,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.50 : 27,785.25 = 4,672.50 : x
  2. Step 2: Convert to fraction form
    18,523.50/27,785.25 = 4,672.50/x
  3. Step 3: Cross multiply
    18,523.50x = 27,785.25 × 4,672.50
  4. Step 4: Simplify right side
    18,523.50x = 129,826,580.63
  5. Step 5: Solve for x
    x = 129,826,580.63/18,523.50
  6. Step 6: Final answer
    x = 7,008.75

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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.