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Finding the Fourth Proportional to 12,876.66, 17,773.29 and 10,543.86

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Solution

The fourth proportional to 12,876.66, 17,773.29 and 10,543.86 is: 14,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.66 : 17,773.29 = 10,543.86 : x
  2. Step 2: Convert to fraction form
    12,876.66/17,773.29 = 10,543.86/x
  3. Step 3: Cross multiply
    12,876.66x = 17,773.29 × 10,543.86
  4. Step 4: Simplify right side
    12,876.66x = 187,399,081.50
  5. Step 5: Solve for x
    x = 187,399,081.50/12,876.66
  6. Step 6: Final answer
    x = 14,553.39

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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.