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Finding the Fourth Proportional to 13,488.80, 20,223.60 and 5,165.60

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Solution

The fourth proportional to 13,488.80, 20,223.60 and 5,165.60 is: 7,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.80 : 20,223.60 = 5,165.60 : x
  2. Step 2: Convert to fraction form
    13,488.80/20,223.60 = 5,165.60/x
  3. Step 3: Cross multiply
    13,488.80x = 20,223.60 × 5,165.60
  4. Step 4: Simplify right side
    13,488.80x = 104,467,028.16
  5. Step 5: Solve for x
    x = 104,467,028.16/13,488.80
  6. Step 6: Final answer
    x = 7,744.72

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1.5x scale

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.