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Finding the Fourth Proportional to 25,175.57, 34,739.57 and 14,563.22

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Solution

The fourth proportional to 25,175.57, 34,739.57 and 14,563.22 is: 20,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.57 : 34,739.57 = 14,563.22 : x
  2. Step 2: Convert to fraction form
    25,175.57/34,739.57 = 14,563.22/x
  3. Step 3: Cross multiply
    25,175.57x = 34,739.57 × 14,563.22
  4. Step 4: Simplify right side
    25,175.57x = 505,919,754.10
  5. Step 5: Solve for x
    x = 505,919,754.10/25,175.57
  6. Step 6: Final answer
    x = 20,095.67

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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.