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Finding the Fourth Proportional to 20,780, 28,677.63 and 11,827.88

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Solution

The fourth proportional to 20,780, 28,677.63 and 11,827.88 is: 16,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 28,677.63 = 11,827.88 : x
  2. Step 2: Convert to fraction form
    20,780/28,677.63 = 11,827.88/x
  3. Step 3: Cross multiply
    20,780x = 28,677.63 × 11,827.88
  4. Step 4: Simplify right side
    20,780x = 339,195,566.32
  5. Step 5: Solve for x
    x = 339,195,566.32/20,780
  6. Step 6: Final answer
    x = 16,323.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.