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Finding the Fourth Proportional to 13,618.50, 20,435.63 and 5,720.32

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Solution

The fourth proportional to 13,618.50, 20,435.63 and 5,720.32 is: 8,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.50 : 20,435.63 = 5,720.32 : x
  2. Step 2: Convert to fraction form
    13,618.50/20,435.63 = 5,720.32/x
  3. Step 3: Cross multiply
    13,618.50x = 20,435.63 × 5,720.32
  4. Step 4: Simplify right side
    13,618.50x = 116,898,339.94
  5. Step 5: Solve for x
    x = 116,898,339.94/13,618.50
  6. Step 6: Final answer
    x = 8,583.79

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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.