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Finding the Fourth Proportional to 23,435.25, 35,153 and 9,584.25

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Solution

The fourth proportional to 23,435.25, 35,153 and 9,584.25 is: 14,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.25 : 35,153 = 9,584.25 : x
  2. Step 2: Convert to fraction form
    23,435.25/35,153 = 9,584.25/x
  3. Step 3: Cross multiply
    23,435.25x = 35,153 × 9,584.25
  4. Step 4: Simplify right side
    23,435.25x = 336,915,140.25
  5. Step 5: Solve for x
    x = 336,915,140.25/23,435.25
  6. Step 6: Final answer
    x = 14,376.43

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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.