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Finding the Fourth Proportional to 14,584.40, 21,833.40 and 13,029.20

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Solution

The fourth proportional to 14,584.40, 21,833.40 and 13,029.20 is: 19,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.40 : 21,833.40 = 13,029.20 : x
  2. Step 2: Convert to fraction form
    14,584.40/21,833.40 = 13,029.20/x
  3. Step 3: Cross multiply
    14,584.40x = 21,833.40 × 13,029.20
  4. Step 4: Simplify right side
    14,584.40x = 284,471,735.28
  5. Step 5: Solve for x
    x = 284,471,735.28/14,584.40
  6. Step 6: Final answer
    x = 19,505.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.