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Finding the Fourth Proportional to 13,920.66, 20,883.24 and 4,684.50

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Solution

The fourth proportional to 13,920.66, 20,883.24 and 4,684.50 is: 7,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.66 : 20,883.24 = 4,684.50 : x
  2. Step 2: Convert to fraction form
    13,920.66/20,883.24 = 4,684.50/x
  3. Step 3: Cross multiply
    13,920.66x = 20,883.24 × 4,684.50
  4. Step 4: Simplify right side
    13,920.66x = 97,827,537.78
  5. Step 5: Solve for x
    x = 97,827,537.78/13,920.66
  6. Step 6: Final answer
    x = 7,027.51

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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.