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Finding the Fourth Proportional to 12,929.72, 17,837.70 and 8,212.28

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Solution

The fourth proportional to 12,929.72, 17,837.70 and 8,212.28 is: 11,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.72 : 17,837.70 = 8,212.28 : x
  2. Step 2: Convert to fraction form
    12,929.72/17,837.70 = 8,212.28/x
  3. Step 3: Cross multiply
    12,929.72x = 17,837.70 × 8,212.28
  4. Step 4: Simplify right side
    12,929.72x = 146,488,186.96
  5. Step 5: Solve for x
    x = 146,488,186.96/12,929.72
  6. Step 6: Final answer
    x = 11,329.57

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