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Finding the Fourth Proportional to 12,407.56, 17,115.24 and 8,159.38

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Solution

The fourth proportional to 12,407.56, 17,115.24 and 8,159.38 is: 11,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.56 : 17,115.24 = 8,159.38 : x
  2. Step 2: Convert to fraction form
    12,407.56/17,115.24 = 8,159.38/x
  3. Step 3: Cross multiply
    12,407.56x = 17,115.24 × 8,159.38
  4. Step 4: Simplify right side
    12,407.56x = 139,649,746.95
  5. Step 5: Solve for x
    x = 139,649,746.95/12,407.56
  6. Step 6: Final answer
    x = 11,255.21

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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.