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Finding the Fourth Proportional to 23,638.27, 35,444.86 and 6,996.01

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Solution

The fourth proportional to 23,638.27, 35,444.86 and 6,996.01 is: 10,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.27 : 35,444.86 = 6,996.01 : x
  2. Step 2: Convert to fraction form
    23,638.27/35,444.86 = 6,996.01/x
  3. Step 3: Cross multiply
    23,638.27x = 35,444.86 × 6,996.01
  4. Step 4: Simplify right side
    23,638.27x = 247,972,595.01
  5. Step 5: Solve for x
    x = 247,972,595.01/23,638.27
  6. Step 6: Final answer
    x = 10,490.30

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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.