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Finding the Fourth Proportional to 13,858.56, 20,735.52 and 13,108.32

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Solution

The fourth proportional to 13,858.56, 20,735.52 and 13,108.32 is: 19,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.56 : 20,735.52 = 13,108.32 : x
  2. Step 2: Convert to fraction form
    13,858.56/20,735.52 = 13,108.32/x
  3. Step 3: Cross multiply
    13,858.56x = 20,735.52 × 13,108.32
  4. Step 4: Simplify right side
    13,858.56x = 271,807,831.53
  5. Step 5: Solve for x
    x = 271,807,831.53/13,858.56
  6. Step 6: Final answer
    x = 19,612.99

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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.