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Finding the Fourth Proportional to 24,338, 33,586.44 and 13,160

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Solution

The fourth proportional to 24,338, 33,586.44 and 13,160 is: 18,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338 : 33,586.44 = 13,160 : x
  2. Step 2: Convert to fraction form
    24,338/33,586.44 = 13,160/x
  3. Step 3: Cross multiply
    24,338x = 33,586.44 × 13,160
  4. Step 4: Simplify right side
    24,338x = 441,997,550.40
  5. Step 5: Solve for x
    x = 441,997,550.40/24,338
  6. Step 6: Final answer
    x = 18,160.80

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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.