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Finding the Fourth Proportional to 14,819.13, 20,441.05 and 10,341.24

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Solution

The fourth proportional to 14,819.13, 20,441.05 and 10,341.24 is: 14,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.13 : 20,441.05 = 10,341.24 : x
  2. Step 2: Convert to fraction form
    14,819.13/20,441.05 = 10,341.24/x
  3. Step 3: Cross multiply
    14,819.13x = 20,441.05 × 10,341.24
  4. Step 4: Simplify right side
    14,819.13x = 211,385,859.32
  5. Step 5: Solve for x
    x = 211,385,859.32/14,819.13
  6. Step 6: Final answer
    x = 14,264.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.