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Finding the Fourth Proportional to 17,180.19, 25,782.45 and 7,821.42

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Solution

The fourth proportional to 17,180.19, 25,782.45 and 7,821.42 is: 11,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.19 : 25,782.45 = 7,821.42 : x
  2. Step 2: Convert to fraction form
    17,180.19/25,782.45 = 7,821.42/x
  3. Step 3: Cross multiply
    17,180.19x = 25,782.45 × 7,821.42
  4. Step 4: Simplify right side
    17,180.19x = 201,655,370.08
  5. Step 5: Solve for x
    x = 201,655,370.08/17,180.19
  6. Step 6: Final answer
    x = 11,737.67

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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.