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Finding the Fourth Proportional to 13,671, 20,506.14 and 3,809.88

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Solution

The fourth proportional to 13,671, 20,506.14 and 3,809.88 is: 5,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 20,506.14 = 3,809.88 : x
  2. Step 2: Convert to fraction form
    13,671/20,506.14 = 3,809.88/x
  3. Step 3: Cross multiply
    13,671x = 20,506.14 × 3,809.88
  4. Step 4: Simplify right side
    13,671x = 78,125,932.66
  5. Step 5: Solve for x
    x = 78,125,932.66/13,671
  6. Step 6: Final answer
    x = 5,714.72

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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.