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Finding the Fourth Proportional to 17,833.16, 26,748.93 and 6,739

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Solution

The fourth proportional to 17,833.16, 26,748.93 and 6,739 is: 10,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.16 : 26,748.93 = 6,739 : x
  2. Step 2: Convert to fraction form
    17,833.16/26,748.93 = 6,739/x
  3. Step 3: Cross multiply
    17,833.16x = 26,748.93 × 6,739
  4. Step 4: Simplify right side
    17,833.16x = 180,261,039.27
  5. Step 5: Solve for x
    x = 180,261,039.27/17,833.16
  6. Step 6: Final answer
    x = 10,108.19

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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.