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Finding the Fourth Proportional to 17,827.16, 26,741.01 and 6,739.07

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Solution

The fourth proportional to 17,827.16, 26,741.01 and 6,739.07 is: 10,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.16 : 26,741.01 = 6,739.07 : x
  2. Step 2: Convert to fraction form
    17,827.16/26,741.01 = 6,739.07/x
  3. Step 3: Cross multiply
    17,827.16x = 26,741.01 × 6,739.07
  4. Step 4: Simplify right side
    17,827.16x = 180,209,538.26
  5. Step 5: Solve for x
    x = 180,209,538.26/17,827.16
  6. Step 6: Final answer
    x = 10,108.71

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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.