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Finding the Fourth Proportional to 17,527.90, 26,296 and 5,047.62

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Solution

The fourth proportional to 17,527.90, 26,296 and 5,047.62 is: 7,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.90 : 26,296 = 5,047.62 : x
  2. Step 2: Convert to fraction form
    17,527.90/26,296 = 5,047.62/x
  3. Step 3: Cross multiply
    17,527.90x = 26,296 × 5,047.62
  4. Step 4: Simplify right side
    17,527.90x = 132,732,215.52
  5. Step 5: Solve for x
    x = 132,732,215.52/17,527.90
  6. Step 6: Final answer
    x = 7,572.63

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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.