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Finding the Fourth Proportional to 17,745.27, 24,485.85 and 10,191.93

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Solution

The fourth proportional to 17,745.27, 24,485.85 and 10,191.93 is: 14,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.27 : 24,485.85 = 10,191.93 : x
  2. Step 2: Convert to fraction form
    17,745.27/24,485.85 = 10,191.93/x
  3. Step 3: Cross multiply
    17,745.27x = 24,485.85 × 10,191.93
  4. Step 4: Simplify right side
    17,745.27x = 249,558,069.19
  5. Step 5: Solve for x
    x = 249,558,069.19/17,745.27
  6. Step 6: Final answer
    x = 14,063.36

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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.