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Finding the Fourth Proportional to 17,829.64, 26,750.52 and 6,739.48

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Solution

The fourth proportional to 17,829.64, 26,750.52 and 6,739.48 is: 10,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.64 : 26,750.52 = 6,739.48 : x
  2. Step 2: Convert to fraction form
    17,829.64/26,750.52 = 6,739.48/x
  3. Step 3: Cross multiply
    17,829.64x = 26,750.52 × 6,739.48
  4. Step 4: Simplify right side
    17,829.64x = 180,284,594.53
  5. Step 5: Solve for x
    x = 180,284,594.53/17,829.64
  6. Step 6: Final answer
    x = 10,111.51

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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.