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Finding the Fourth Proportional to 12,543.73, 17,302.41 and 8,059.77

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Solution

The fourth proportional to 12,543.73, 17,302.41 and 8,059.77 is: 11,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.73 : 17,302.41 = 8,059.77 : x
  2. Step 2: Convert to fraction form
    12,543.73/17,302.41 = 8,059.77/x
  3. Step 3: Cross multiply
    12,543.73x = 17,302.41 × 8,059.77
  4. Step 4: Simplify right side
    12,543.73x = 139,453,445.05
  5. Step 5: Solve for x
    x = 139,453,445.05/12,543.73
  6. Step 6: Final answer
    x = 11,117.38

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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.