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Finding the Fourth Proportional to 12,522.21, 17,272.98 and 9,829.38

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Solution

The fourth proportional to 12,522.21, 17,272.98 and 9,829.38 is: 13,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.21 : 17,272.98 = 9,829.38 : x
  2. Step 2: Convert to fraction form
    12,522.21/17,272.98 = 9,829.38/x
  3. Step 3: Cross multiply
    12,522.21x = 17,272.98 × 9,829.38
  4. Step 4: Simplify right side
    12,522.21x = 169,782,684.15
  5. Step 5: Solve for x
    x = 169,782,684.15/12,522.21
  6. Step 6: Final answer
    x = 13,558.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.