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Finding the Fourth Proportional to 21,527.64, 29,707.97 and 12,096

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Solution

The fourth proportional to 21,527.64, 29,707.97 and 12,096 is: 16,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.64 : 29,707.97 = 12,096 : x
  2. Step 2: Convert to fraction form
    21,527.64/29,707.97 = 12,096/x
  3. Step 3: Cross multiply
    21,527.64x = 29,707.97 × 12,096
  4. Step 4: Simplify right side
    21,527.64x = 359,347,544.64
  5. Step 5: Solve for x
    x = 359,347,544.64/21,527.64
  6. Step 6: Final answer
    x = 16,692.38

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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.