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Finding the Fourth Proportional to 13,878.56, 20,814.60 and 4,015.19

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Solution

The fourth proportional to 13,878.56, 20,814.60 and 4,015.19 is: 6,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.56 : 20,814.60 = 4,015.19 : x
  2. Step 2: Convert to fraction form
    13,878.56/20,814.60 = 4,015.19/x
  3. Step 3: Cross multiply
    13,878.56x = 20,814.60 × 4,015.19
  4. Step 4: Simplify right side
    13,878.56x = 83,574,573.77
  5. Step 5: Solve for x
    x = 83,574,573.77/13,878.56
  6. Step 6: Final answer
    x = 6,021.85

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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.