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Finding the Fourth Proportional to 23,435.50, 35,153.38 and 9,584.50

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Solution

The fourth proportional to 23,435.50, 35,153.38 and 9,584.50 is: 14,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.50 : 35,153.38 = 9,584.50 : x
  2. Step 2: Convert to fraction form
    23,435.50/35,153.38 = 9,584.50/x
  3. Step 3: Cross multiply
    23,435.50x = 35,153.38 × 9,584.50
  4. Step 4: Simplify right side
    23,435.50x = 336,927,394.84
  5. Step 5: Solve for x
    x = 336,927,394.84/23,435.50
  6. Step 6: Final answer
    x = 14,376.80

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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.