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Finding the Fourth Proportional to 24,333, 33,579.54 and 13,155

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Solution

The fourth proportional to 24,333, 33,579.54 and 13,155 is: 18,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333 : 33,579.54 = 13,155 : x
  2. Step 2: Convert to fraction form
    24,333/33,579.54 = 13,155/x
  3. Step 3: Cross multiply
    24,333x = 33,579.54 × 13,155
  4. Step 4: Simplify right side
    24,333x = 441,738,848.70
  5. Step 5: Solve for x
    x = 441,738,848.70/24,333
  6. Step 6: Final answer
    x = 18,153.90

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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.