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Finding the Fourth Proportional to 13,832.50, 20,749.11 and 4,598.50

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Solution

The fourth proportional to 13,832.50, 20,749.11 and 4,598.50 is: 6,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.50 : 20,749.11 = 4,598.50 : x
  2. Step 2: Convert to fraction form
    13,832.50/20,749.11 = 4,598.50/x
  3. Step 3: Cross multiply
    13,832.50x = 20,749.11 × 4,598.50
  4. Step 4: Simplify right side
    13,832.50x = 95,414,782.34
  5. Step 5: Solve for x
    x = 95,414,782.34/13,832.50
  6. Step 6: Final answer
    x = 6,897.87

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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.