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Finding the Fourth Proportional to 12,486.42, 17,234.10 and 11,225.16

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Solution

The fourth proportional to 12,486.42, 17,234.10 and 11,225.16 is: 15,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.42 : 17,234.10 = 11,225.16 : x
  2. Step 2: Convert to fraction form
    12,486.42/17,234.10 = 11,225.16/x
  3. Step 3: Cross multiply
    12,486.42x = 17,234.10 × 11,225.16
  4. Step 4: Simplify right side
    12,486.42x = 193,455,529.96
  5. Step 5: Solve for x
    x = 193,455,529.96/12,486.42
  6. Step 6: Final answer
    x = 15,493.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.