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Finding the Fourth Proportional to 23,817.70, 35,724.93 and 9,025.48

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Solution

The fourth proportional to 23,817.70, 35,724.93 and 9,025.48 is: 13,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.70 : 35,724.93 = 9,025.48 : x
  2. Step 2: Convert to fraction form
    23,817.70/35,724.93 = 9,025.48/x
  3. Step 3: Cross multiply
    23,817.70x = 35,724.93 × 9,025.48
  4. Step 4: Simplify right side
    23,817.70x = 322,434,641.22
  5. Step 5: Solve for x
    x = 322,434,641.22/23,817.70
  6. Step 6: Final answer
    x = 13,537.61

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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.