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Finding the Fourth Proportional to 25,823.20, 38,821.20 and 22,021.60

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Solution

The fourth proportional to 25,823.20, 38,821.20 and 22,021.60 is: 33,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.20 : 38,821.20 = 22,021.60 : x
  2. Step 2: Convert to fraction form
    25,823.20/38,821.20 = 22,021.60/x
  3. Step 3: Cross multiply
    25,823.20x = 38,821.20 × 22,021.60
  4. Step 4: Simplify right side
    25,823.20x = 854,904,937.92
  5. Step 5: Solve for x
    x = 854,904,937.92/25,823.20
  6. Step 6: Final answer
    x = 33,106.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.