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Finding the Fourth Proportional to 13,687.42, 20,530.11 and 8,175.77

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Solution

The fourth proportional to 13,687.42, 20,530.11 and 8,175.77 is: 12,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.42 : 20,530.11 = 8,175.77 : x
  2. Step 2: Convert to fraction form
    13,687.42/20,530.11 = 8,175.77/x
  3. Step 3: Cross multiply
    13,687.42x = 20,530.11 × 8,175.77
  4. Step 4: Simplify right side
    13,687.42x = 167,849,457.43
  5. Step 5: Solve for x
    x = 167,849,457.43/13,687.42
  6. Step 6: Final answer
    x = 12,263.05

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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.