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Finding the Fourth Proportional to 24,508.35, 33,822 and 13,897.80

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Solution

The fourth proportional to 24,508.35, 33,822 and 13,897.80 is: 19,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.35 : 33,822 = 13,897.80 : x
  2. Step 2: Convert to fraction form
    24,508.35/33,822 = 13,897.80/x
  3. Step 3: Cross multiply
    24,508.35x = 33,822 × 13,897.80
  4. Step 4: Simplify right side
    24,508.35x = 470,051,391.60
  5. Step 5: Solve for x
    x = 470,051,391.60/24,508.35
  6. Step 6: Final answer
    x = 19,179.23

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