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Finding the Fourth Proportional to 12,483.74, 17,229.38 and 8,012.54

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Solution

The fourth proportional to 12,483.74, 17,229.38 and 8,012.54 is: 11,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.74 : 17,229.38 = 8,012.54 : x
  2. Step 2: Convert to fraction form
    12,483.74/17,229.38 = 8,012.54/x
  3. Step 3: Cross multiply
    12,483.74x = 17,229.38 × 8,012.54
  4. Step 4: Simplify right side
    12,483.74x = 138,050,970.22
  5. Step 5: Solve for x
    x = 138,050,970.22/12,483.74
  6. Step 6: Final answer
    x = 11,058.47

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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.