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Finding the Fourth Proportional to 17,577.47, 26,366.21 and 7,189.22

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Solution

The fourth proportional to 17,577.47, 26,366.21 and 7,189.22 is: 10,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.47 : 26,366.21 = 7,189.22 : x
  2. Step 2: Convert to fraction form
    17,577.47/26,366.21 = 7,189.22/x
  3. Step 3: Cross multiply
    17,577.47x = 26,366.21 × 7,189.22
  4. Step 4: Simplify right side
    17,577.47x = 189,552,448.31
  5. Step 5: Solve for x
    x = 189,552,448.31/17,577.47
  6. Step 6: Final answer
    x = 10,783.83

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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.