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Finding the Fourth Proportional to 13,581.89, 20,374.16 and 4,219.39

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Solution

The fourth proportional to 13,581.89, 20,374.16 and 4,219.39 is: 6,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.89 : 20,374.16 = 4,219.39 : x
  2. Step 2: Convert to fraction form
    13,581.89/20,374.16 = 4,219.39/x
  3. Step 3: Cross multiply
    13,581.89x = 20,374.16 × 4,219.39
  4. Step 4: Simplify right side
    13,581.89x = 85,966,526.96
  5. Step 5: Solve for x
    x = 85,966,526.96/13,581.89
  6. Step 6: Final answer
    x = 6,329.50

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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.