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Finding the Fourth Proportional to 21,261.28, 29,342.16 and 12,311.20

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Solution

The fourth proportional to 21,261.28, 29,342.16 and 12,311.20 is: 16,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.28 : 29,342.16 = 12,311.20 : x
  2. Step 2: Convert to fraction form
    21,261.28/29,342.16 = 12,311.20/x
  3. Step 3: Cross multiply
    21,261.28x = 29,342.16 × 12,311.20
  4. Step 4: Simplify right side
    21,261.28x = 361,237,200.19
  5. Step 5: Solve for x
    x = 361,237,200.19/21,261.28
  6. Step 6: Final answer
    x = 16,990.38

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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.