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Finding the Fourth Proportional to 16,829.34, 25,247.73 and 5,143.47

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Solution

The fourth proportional to 16,829.34, 25,247.73 and 5,143.47 is: 7,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.34 : 25,247.73 = 5,143.47 : x
  2. Step 2: Convert to fraction form
    16,829.34/25,247.73 = 5,143.47/x
  3. Step 3: Cross multiply
    16,829.34x = 25,247.73 × 5,143.47
  4. Step 4: Simplify right side
    16,829.34x = 129,860,941.82
  5. Step 5: Solve for x
    x = 129,860,941.82/16,829.34
  6. Step 6: Final answer
    x = 7,716.34

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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.