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Finding the Fourth Proportional to 23,615.96, 35,415.68 and 6,971.56

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Solution

The fourth proportional to 23,615.96, 35,415.68 and 6,971.56 is: 10,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.96 : 35,415.68 = 6,971.56 : x
  2. Step 2: Convert to fraction form
    23,615.96/35,415.68 = 6,971.56/x
  3. Step 3: Cross multiply
    23,615.96x = 35,415.68 × 6,971.56
  4. Step 4: Simplify right side
    23,615.96x = 246,902,538.06
  5. Step 5: Solve for x
    x = 246,902,538.06/23,615.96
  6. Step 6: Final answer
    x = 10,454.90

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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.