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Finding the Fourth Proportional to 13,530.66, 20,297.90 and 4,171.43

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Solution

The fourth proportional to 13,530.66, 20,297.90 and 4,171.43 is: 6,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.66 : 20,297.90 = 4,171.43 : x
  2. Step 2: Convert to fraction form
    13,530.66/20,297.90 = 4,171.43/x
  3. Step 3: Cross multiply
    13,530.66x = 20,297.90 × 4,171.43
  4. Step 4: Simplify right side
    13,530.66x = 84,671,298.88
  5. Step 5: Solve for x
    x = 84,671,298.88/13,530.66
  6. Step 6: Final answer
    x = 6,257.74

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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.