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Finding the Fourth Proportional to 13,883.84, 20,827.12 and 5,117.60

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Solution

The fourth proportional to 13,883.84, 20,827.12 and 5,117.60 is: 7,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.84 : 20,827.12 = 5,117.60 : x
  2. Step 2: Convert to fraction form
    13,883.84/20,827.12 = 5,117.60/x
  3. Step 3: Cross multiply
    13,883.84x = 20,827.12 × 5,117.60
  4. Step 4: Simplify right side
    13,883.84x = 106,584,869.31
  5. Step 5: Solve for x
    x = 106,584,869.31/13,883.84
  6. Step 6: Final answer
    x = 7,676.90

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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.