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Finding the Fourth Proportional to 13,883.40, 20,827.16 and 4,021.45

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Solution

The fourth proportional to 13,883.40, 20,827.16 and 4,021.45 is: 6,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.40 : 20,827.16 = 4,021.45 : x
  2. Step 2: Convert to fraction form
    13,883.40/20,827.16 = 4,021.45/x
  3. Step 3: Cross multiply
    13,883.40x = 20,827.16 × 4,021.45
  4. Step 4: Simplify right side
    13,883.40x = 83,755,382.58
  5. Step 5: Solve for x
    x = 83,755,382.58/13,883.40
  6. Step 6: Final answer
    x = 6,032.77

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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.