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Finding the Fourth Proportional to 15,852.64, 23,782.20 and 5,463.04

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Solution

The fourth proportional to 15,852.64, 23,782.20 and 5,463.04 is: 8,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.64 : 23,782.20 = 5,463.04 : x
  2. Step 2: Convert to fraction form
    15,852.64/23,782.20 = 5,463.04/x
  3. Step 3: Cross multiply
    15,852.64x = 23,782.20 × 5,463.04
  4. Step 4: Simplify right side
    15,852.64x = 129,923,109.89
  5. Step 5: Solve for x
    x = 129,923,109.89/15,852.64
  6. Step 6: Final answer
    x = 8,195.68

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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.