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Finding the Fourth Proportional to 21,454.56, 29,609.40 and 12,380.40

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Solution

The fourth proportional to 21,454.56, 29,609.40 and 12,380.40 is: 17,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.56 : 29,609.40 = 12,380.40 : x
  2. Step 2: Convert to fraction form
    21,454.56/29,609.40 = 12,380.40/x
  3. Step 3: Cross multiply
    21,454.56x = 29,609.40 × 12,380.40
  4. Step 4: Simplify right side
    21,454.56x = 366,576,215.76
  5. Step 5: Solve for x
    x = 366,576,215.76/21,454.56
  6. Step 6: Final answer
    x = 17,086.17

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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.