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Finding the Fourth Proportional to 22,525.80, 33,788.70 and 10,213.80

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Solution

The fourth proportional to 22,525.80, 33,788.70 and 10,213.80 is: 15,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.80 : 33,788.70 = 10,213.80 : x
  2. Step 2: Convert to fraction form
    22,525.80/33,788.70 = 10,213.80/x
  3. Step 3: Cross multiply
    22,525.80x = 33,788.70 × 10,213.80
  4. Step 4: Simplify right side
    22,525.80x = 345,111,024.06
  5. Step 5: Solve for x
    x = 345,111,024.06/22,525.80
  6. Step 6: Final answer
    x = 15,320.70

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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.