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Finding the Fourth Proportional to 20,819.76, 31,228.68 and 7,671.24

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Solution

The fourth proportional to 20,819.76, 31,228.68 and 7,671.24 is: 11,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.76 : 31,228.68 = 7,671.24 : x
  2. Step 2: Convert to fraction form
    20,819.76/31,228.68 = 7,671.24/x
  3. Step 3: Cross multiply
    20,819.76x = 31,228.68 × 7,671.24
  4. Step 4: Simplify right side
    20,819.76x = 239,562,699.16
  5. Step 5: Solve for x
    x = 239,562,699.16/20,819.76
  6. Step 6: Final answer
    x = 11,506.51

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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.