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Finding the Fourth Proportional to 14,677.88, 20,255.48 and 8,390.39

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Solution

The fourth proportional to 14,677.88, 20,255.48 and 8,390.39 is: 11,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.88 : 20,255.48 = 8,390.39 : x
  2. Step 2: Convert to fraction form
    14,677.88/20,255.48 = 8,390.39/x
  3. Step 3: Cross multiply
    14,677.88x = 20,255.48 × 8,390.39
  4. Step 4: Simplify right side
    14,677.88x = 169,951,233.61
  5. Step 5: Solve for x
    x = 169,951,233.61/14,677.88
  6. Step 6: Final answer
    x = 11,578.74

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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.