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Finding the Fourth Proportional to 23,782.50, 32,820.89 and 13,172.18

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Solution

The fourth proportional to 23,782.50, 32,820.89 and 13,172.18 is: 18,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.50 : 32,820.89 = 13,172.18 : x
  2. Step 2: Convert to fraction form
    23,782.50/32,820.89 = 13,172.18/x
  3. Step 3: Cross multiply
    23,782.50x = 32,820.89 × 13,172.18
  4. Step 4: Simplify right side
    23,782.50x = 432,322,440.87
  5. Step 5: Solve for x
    x = 432,322,440.87/23,782.50
  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.