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Finding the Fourth Proportional to 12,115.84, 18,186.48 and 10,738

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Solution

The fourth proportional to 12,115.84, 18,186.48 and 10,738 is: 16,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.84 : 18,186.48 = 10,738 : x
  2. Step 2: Convert to fraction form
    12,115.84/18,186.48 = 10,738/x
  3. Step 3: Cross multiply
    12,115.84x = 18,186.48 × 10,738
  4. Step 4: Simplify right side
    12,115.84x = 195,286,422.24
  5. Step 5: Solve for x
    x = 195,286,422.24/12,115.84
  6. Step 6: Final answer
    x = 16,118.27

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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.