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Finding the Fourth Proportional to 17,655.44, 24,364.67 and 9,697.83

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Solution

The fourth proportional to 17,655.44, 24,364.67 and 9,697.83 is: 13,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.44 : 24,364.67 = 9,697.83 : x
  2. Step 2: Convert to fraction form
    17,655.44/24,364.67 = 9,697.83/x
  3. Step 3: Cross multiply
    17,655.44x = 24,364.67 × 9,697.83
  4. Step 4: Simplify right side
    17,655.44x = 236,284,379.18
  5. Step 5: Solve for x
    x = 236,284,379.18/17,655.44
  6. Step 6: Final answer
    x = 13,383.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.