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Finding the Fourth Proportional to 13,594.54, 20,389.50 and 3,731.50

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Solution

The fourth proportional to 13,594.54, 20,389.50 and 3,731.50 is: 5,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.54 : 20,389.50 = 3,731.50 : x
  2. Step 2: Convert to fraction form
    13,594.54/20,389.50 = 3,731.50/x
  3. Step 3: Cross multiply
    13,594.54x = 20,389.50 × 3,731.50
  4. Step 4: Simplify right side
    13,594.54x = 76,083,419.25
  5. Step 5: Solve for x
    x = 76,083,419.25/13,594.54
  6. Step 6: Final answer
    x = 5,596.62

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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.