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Finding the Fourth Proportional to 23,782.68, 32,820.36 and 13,172.48

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Solution

The fourth proportional to 23,782.68, 32,820.36 and 13,172.48 is: 18,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.68 : 32,820.36 = 13,172.48 : x
  2. Step 2: Convert to fraction form
    23,782.68/32,820.36 = 13,172.48/x
  3. Step 3: Cross multiply
    23,782.68x = 32,820.36 × 13,172.48
  4. Step 4: Simplify right side
    23,782.68x = 432,325,535.69
  5. Step 5: Solve for x
    x = 432,325,535.69/23,782.68
  6. Step 6: Final answer
    x = 18,178.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.