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Finding the Fourth Proportional to 12,443.63, 17,172.20 and 6,854.63

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Solution

The fourth proportional to 12,443.63, 17,172.20 and 6,854.63 is: 9,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.63 : 17,172.20 = 6,854.63 : x
  2. Step 2: Convert to fraction form
    12,443.63/17,172.20 = 6,854.63/x
  3. Step 3: Cross multiply
    12,443.63x = 17,172.20 × 6,854.63
  4. Step 4: Simplify right side
    12,443.63x = 117,709,008.56
  5. Step 5: Solve for x
    x = 117,709,008.56/12,443.63
  6. Step 6: Final answer
    x = 9,459.38

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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.