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Finding the Fourth Proportional to 24,412, 33,690 and 14,858.80

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Solution

The fourth proportional to 24,412, 33,690 and 14,858.80 is: 20,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412 : 33,690 = 14,858.80 : x
  2. Step 2: Convert to fraction form
    24,412/33,690 = 14,858.80/x
  3. Step 3: Cross multiply
    24,412x = 33,690 × 14,858.80
  4. Step 4: Simplify right side
    24,412x = 500,592,972
  5. Step 5: Solve for x
    x = 500,592,972/24,412
  6. Step 6: Final answer
    x = 20,506.02

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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.