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Finding the Fourth Proportional to 13,475.16, 20,185.20 and 8,527.14

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Solution

The fourth proportional to 13,475.16, 20,185.20 and 8,527.14 is: 12,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.16 : 20,185.20 = 8,527.14 : x
  2. Step 2: Convert to fraction form
    13,475.16/20,185.20 = 8,527.14/x
  3. Step 3: Cross multiply
    13,475.16x = 20,185.20 × 8,527.14
  4. Step 4: Simplify right side
    13,475.16x = 172,122,026.33
  5. Step 5: Solve for x
    x = 172,122,026.33/13,475.16
  6. Step 6: Final answer
    x = 12,773.28

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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.