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Finding the Fourth Proportional to 11,986.38, 16,526.25 and 9,328.14

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Solution

The fourth proportional to 11,986.38, 16,526.25 and 9,328.14 is: 12,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.38 : 16,526.25 = 9,328.14 : x
  2. Step 2: Convert to fraction form
    11,986.38/16,526.25 = 9,328.14/x
  3. Step 3: Cross multiply
    11,986.38x = 16,526.25 × 9,328.14
  4. Step 4: Simplify right side
    11,986.38x = 154,159,173.68
  5. Step 5: Solve for x
    x = 154,159,173.68/11,986.38
  6. Step 6: Final answer
    x = 12,861.20

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Why These Related Problems?

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