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Finding the Fourth Proportional to 20,819.84, 28,730.65 and 11,870.22

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Solution

The fourth proportional to 20,819.84, 28,730.65 and 11,870.22 is: 16,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.84 : 28,730.65 = 11,870.22 : x
  2. Step 2: Convert to fraction form
    20,819.84/28,730.65 = 11,870.22/x
  3. Step 3: Cross multiply
    20,819.84x = 28,730.65 × 11,870.22
  4. Step 4: Simplify right side
    20,819.84x = 341,039,076.89
  5. Step 5: Solve for x
    x = 341,039,076.89/20,819.84
  6. Step 6: Final answer
    x = 16,380.49

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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.