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Finding the Fourth Proportional to 13,920.50, 20,880.34 and 5,155.22

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Solution

The fourth proportional to 13,920.50, 20,880.34 and 5,155.22 is: 7,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.50 : 20,880.34 = 5,155.22 : x
  2. Step 2: Convert to fraction form
    13,920.50/20,880.34 = 5,155.22/x
  3. Step 3: Cross multiply
    13,920.50x = 20,880.34 × 5,155.22
  4. Step 4: Simplify right side
    13,920.50x = 107,642,746.37
  5. Step 5: Solve for x
    x = 107,642,746.37/13,920.50
  6. Step 6: Final answer
    x = 7,732.68

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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.