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Finding the Fourth Proportional to 23,821.09, 35,720.09 and 7,178.02

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Solution

The fourth proportional to 23,821.09, 35,720.09 and 7,178.02 is: 10,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.09 : 35,720.09 = 7,178.02 : x
  2. Step 2: Convert to fraction form
    23,821.09/35,720.09 = 7,178.02/x
  3. Step 3: Cross multiply
    23,821.09x = 35,720.09 × 7,178.02
  4. Step 4: Simplify right side
    23,821.09x = 256,399,422.15
  5. Step 5: Solve for x
    x = 256,399,422.15/23,821.09
  6. Step 6: Final answer
    x = 10,763.55

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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.