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Finding the Fourth Proportional to 17,577.68, 26,366.63 and 7,189.43

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Solution

The fourth proportional to 17,577.68, 26,366.63 and 7,189.43 is: 10,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.68 : 26,366.63 = 7,189.43 : x
  2. Step 2: Convert to fraction form
    17,577.68/26,366.63 = 7,189.43/x
  3. Step 3: Cross multiply
    17,577.68x = 26,366.63 × 7,189.43
  4. Step 4: Simplify right side
    17,577.68x = 189,561,040.72
  5. Step 5: Solve for x
    x = 189,561,040.72/17,577.68
  6. Step 6: Final answer
    x = 10,784.19

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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.