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Finding the Fourth Proportional to 14,821.84, 20,454.79 and 8,536.24

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Solution

The fourth proportional to 14,821.84, 20,454.79 and 8,536.24 is: 11,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.84 : 20,454.79 = 8,536.24 : x
  2. Step 2: Convert to fraction form
    14,821.84/20,454.79 = 8,536.24/x
  3. Step 3: Cross multiply
    14,821.84x = 20,454.79 × 8,536.24
  4. Step 4: Simplify right side
    14,821.84x = 174,606,996.59
  5. Step 5: Solve for x
    x = 174,606,996.59/14,821.84
  6. Step 6: Final answer
    x = 11,780.39

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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.