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Finding the Fourth Proportional to 13,443.72, 20,165.67 and 4,672.50

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Solution

The fourth proportional to 13,443.72, 20,165.67 and 4,672.50 is: 7,008.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.72 : 20,165.67 = 4,672.50 : x
  2. Step 2: Convert to fraction form
    13,443.72/20,165.67 = 4,672.50/x
  3. Step 3: Cross multiply
    13,443.72x = 20,165.67 × 4,672.50
  4. Step 4: Simplify right side
    13,443.72x = 94,224,093.08
  5. Step 5: Solve for x
    x = 94,224,093.08/13,443.72
  6. Step 6: Final answer
    x = 7,008.78

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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.