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Finding the Fourth Proportional to 13,991.32, 20,980.35 and 5,100.36

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Solution

The fourth proportional to 13,991.32, 20,980.35 and 5,100.36 is: 7,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.32 : 20,980.35 = 5,100.36 : x
  2. Step 2: Convert to fraction form
    13,991.32/20,980.35 = 5,100.36/x
  3. Step 3: Cross multiply
    13,991.32x = 20,980.35 × 5,100.36
  4. Step 4: Simplify right side
    13,991.32x = 107,007,337.93
  5. Step 5: Solve for x
    x = 107,007,337.93/13,991.32
  6. Step 6: Final answer
    x = 7,648.12

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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.