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Finding the Fourth Proportional to 17,771.26, 24,525.30 and 9,813.46

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Solution

The fourth proportional to 17,771.26, 24,525.30 and 9,813.46 is: 13,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.26 : 24,525.30 = 9,813.46 : x
  2. Step 2: Convert to fraction form
    17,771.26/24,525.30 = 9,813.46/x
  3. Step 3: Cross multiply
    17,771.26x = 24,525.30 × 9,813.46
  4. Step 4: Simplify right side
    17,771.26x = 240,678,050.54
  5. Step 5: Solve for x
    x = 240,678,050.54/17,771.26
  6. Step 6: Final answer
    x = 13,543.11

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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.