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Finding the Fourth Proportional to 17,527.77, 26,299.34 and 9,205.86

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Solution

The fourth proportional to 17,527.77, 26,299.34 and 9,205.86 is: 13,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.77 : 26,299.34 = 9,205.86 : x
  2. Step 2: Convert to fraction form
    17,527.77/26,299.34 = 9,205.86/x
  3. Step 3: Cross multiply
    17,527.77x = 26,299.34 × 9,205.86
  4. Step 4: Simplify right side
    17,527.77x = 242,108,042.13
  5. Step 5: Solve for x
    x = 242,108,042.13/17,527.77
  6. Step 6: Final answer
    x = 13,812.83

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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.