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Finding the Fourth Proportional to 23,604.24, 35,407.16 and 8,019.84

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Solution

The fourth proportional to 23,604.24, 35,407.16 and 8,019.84 is: 12,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.24 : 35,407.16 = 8,019.84 : x
  2. Step 2: Convert to fraction form
    23,604.24/35,407.16 = 8,019.84/x
  3. Step 3: Cross multiply
    23,604.24x = 35,407.16 × 8,019.84
  4. Step 4: Simplify right side
    23,604.24x = 283,959,758.05
  5. Step 5: Solve for x
    x = 283,959,758.05/23,604.24
  6. Step 6: Final answer
    x = 12,030.03

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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.