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Finding the Fourth Proportional to 13,819.20, 20,582.22 and 13,752.24

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Solution

The fourth proportional to 13,819.20, 20,582.22 and 13,752.24 is: 20,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.20 : 20,582.22 = 13,752.24 : x
  2. Step 2: Convert to fraction form
    13,819.20/20,582.22 = 13,752.24/x
  3. Step 3: Cross multiply
    13,819.20x = 20,582.22 × 13,752.24
  4. Step 4: Simplify right side
    13,819.20x = 283,051,629.17
  5. Step 5: Solve for x
    x = 283,051,629.17/13,819.20
  6. Step 6: Final answer
    x = 20,482.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.