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Finding the Fourth Proportional to 13,876.83, 20,804.31 and 5,106.96

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Solution

The fourth proportional to 13,876.83, 20,804.31 and 5,106.96 is: 7,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.83 : 20,804.31 = 5,106.96 : x
  2. Step 2: Convert to fraction form
    13,876.83/20,804.31 = 5,106.96/x
  3. Step 3: Cross multiply
    13,876.83x = 20,804.31 × 5,106.96
  4. Step 4: Simplify right side
    13,876.83x = 106,246,779.00
  5. Step 5: Solve for x
    x = 106,246,779.00/13,876.83
  6. Step 6: Final answer
    x = 7,656.42

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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.