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Finding the Fourth Proportional to 17,742.31, 26,613.45 and 7,218.05

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Solution

The fourth proportional to 17,742.31, 26,613.45 and 7,218.05 is: 10,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.31 : 26,613.45 = 7,218.05 : x
  2. Step 2: Convert to fraction form
    17,742.31/26,613.45 = 7,218.05/x
  3. Step 3: Cross multiply
    17,742.31x = 26,613.45 × 7,218.05
  4. Step 4: Simplify right side
    17,742.31x = 192,097,212.77
  5. Step 5: Solve for x
    x = 192,097,212.77/17,742.31
  6. Step 6: Final answer
    x = 10,827.07

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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.