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Finding the Fourth Proportional to 17,824.24, 26,738.72 and 7,433.52

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Solution

The fourth proportional to 17,824.24, 26,738.72 and 7,433.52 is: 11,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.24 : 26,738.72 = 7,433.52 : x
  2. Step 2: Convert to fraction form
    17,824.24/26,738.72 = 7,433.52/x
  3. Step 3: Cross multiply
    17,824.24x = 26,738.72 × 7,433.52
  4. Step 4: Simplify right side
    17,824.24x = 198,762,809.89
  5. Step 5: Solve for x
    x = 198,762,809.89/17,824.24
  6. Step 6: Final answer
    x = 11,151.26

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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.