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Finding the Fourth Proportional to 23,729.10, 35,599.32 and 7,090.49

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Solution

The fourth proportional to 23,729.10, 35,599.32 and 7,090.49 is: 10,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.10 : 35,599.32 = 7,090.49 : x
  2. Step 2: Convert to fraction form
    23,729.10/35,599.32 = 7,090.49/x
  3. Step 3: Cross multiply
    23,729.10x = 35,599.32 × 7,090.49
  4. Step 4: Simplify right side
    23,729.10x = 252,416,622.47
  5. Step 5: Solve for x
    x = 252,416,622.47/23,729.10
  6. Step 6: Final answer
    x = 10,637.43

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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.