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Finding the Fourth Proportional to 23,637.32, 35,419.04 and 13,648.20

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Solution

The fourth proportional to 23,637.32, 35,419.04 and 13,648.20 is: 20,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.32 : 35,419.04 = 13,648.20 : x
  2. Step 2: Convert to fraction form
    23,637.32/35,419.04 = 13,648.20/x
  3. Step 3: Cross multiply
    23,637.32x = 35,419.04 × 13,648.20
  4. Step 4: Simplify right side
    23,637.32x = 483,405,991.85
  5. Step 5: Solve for x
    x = 483,405,991.85/23,637.32
  6. Step 6: Final answer
    x = 20,450.97

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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.