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Finding the Fourth Proportional to 17,214.93, 25,824.67 and 7,356.47

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Solution

The fourth proportional to 17,214.93, 25,824.67 and 7,356.47 is: 11,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.93 : 25,824.67 = 7,356.47 : x
  2. Step 2: Convert to fraction form
    17,214.93/25,824.67 = 7,356.47/x
  3. Step 3: Cross multiply
    17,214.93x = 25,824.67 × 7,356.47
  4. Step 4: Simplify right side
    17,214.93x = 189,978,449.24
  5. Step 5: Solve for x
    x = 189,978,449.24/17,214.93
  6. Step 6: Final answer
    x = 11,035.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.