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Finding the Fourth Proportional to 13,599.89, 20,400.74 and 4,832.45

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Solution

The fourth proportional to 13,599.89, 20,400.74 and 4,832.45 is: 7,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.89 : 20,400.74 = 4,832.45 : x
  2. Step 2: Convert to fraction form
    13,599.89/20,400.74 = 4,832.45/x
  3. Step 3: Cross multiply
    13,599.89x = 20,400.74 × 4,832.45
  4. Step 4: Simplify right side
    13,599.89x = 98,585,556.01
  5. Step 5: Solve for x
    x = 98,585,556.01/13,599.89
  6. Step 6: Final answer
    x = 7,249.00

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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.