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Finding the Fourth Proportional to 20,509.88, 30,764.82 and 14,677.88

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Solution

The fourth proportional to 20,509.88, 30,764.82 and 14,677.88 is: 22,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.88 : 30,764.82 = 14,677.88 : x
  2. Step 2: Convert to fraction form
    20,509.88/30,764.82 = 14,677.88/x
  3. Step 3: Cross multiply
    20,509.88x = 30,764.82 × 14,677.88
  4. Step 4: Simplify right side
    20,509.88x = 451,562,336.18
  5. Step 5: Solve for x
    x = 451,562,336.18/20,509.88
  6. Step 6: Final answer
    x = 22,016.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.