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Finding the Fourth Proportional to 23,435.70, 35,157.21 and 7,637.06

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Solution

The fourth proportional to 23,435.70, 35,157.21 and 7,637.06 is: 11,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.70 : 35,157.21 = 7,637.06 : x
  2. Step 2: Convert to fraction form
    23,435.70/35,157.21 = 7,637.06/x
  3. Step 3: Cross multiply
    23,435.70x = 35,157.21 × 7,637.06
  4. Step 4: Simplify right side
    23,435.70x = 268,497,508.23
  5. Step 5: Solve for x
    x = 268,497,508.23/23,435.70
  6. Step 6: Final answer
    x = 11,456.77

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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.