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Finding the Fourth Proportional to 21,311.82, 29,414.07 and 13,360.86

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Solution

The fourth proportional to 21,311.82, 29,414.07 and 13,360.86 is: 18,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.82 : 29,414.07 = 13,360.86 : x
  2. Step 2: Convert to fraction form
    21,311.82/29,414.07 = 13,360.86/x
  3. Step 3: Cross multiply
    21,311.82x = 29,414.07 × 13,360.86
  4. Step 4: Simplify right side
    21,311.82x = 392,997,271.30
  5. Step 5: Solve for x
    x = 392,997,271.30/21,311.82
  6. Step 6: Final answer
    x = 18,440.34

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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.