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Finding the Fourth Proportional to 23,415.10, 35,092 and 20,446.06

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Solution

The fourth proportional to 23,415.10, 35,092 and 20,446.06 is: 30,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.10 : 35,092 = 20,446.06 : x
  2. Step 2: Convert to fraction form
    23,415.10/35,092 = 20,446.06/x
  3. Step 3: Cross multiply
    23,415.10x = 35,092 × 20,446.06
  4. Step 4: Simplify right side
    23,415.10x = 717,493,137.52
  5. Step 5: Solve for x
    x = 717,493,137.52/23,415.10
  6. Step 6: Final answer
    x = 30,642.33

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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.