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Finding the Fourth Proportional to 20,034.65, 27,622.68 and 12,851.90

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Solution

The fourth proportional to 20,034.65, 27,622.68 and 12,851.90 is: 17,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.65 : 27,622.68 = 12,851.90 : x
  2. Step 2: Convert to fraction form
    20,034.65/27,622.68 = 12,851.90/x
  3. Step 3: Cross multiply
    20,034.65x = 27,622.68 × 12,851.90
  4. Step 4: Simplify right side
    20,034.65x = 355,003,782.98
  5. Step 5: Solve for x
    x = 355,003,782.98/20,034.65
  6. Step 6: Final answer
    x = 17,719.49

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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.