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Finding the Fourth Proportional to 23,857.60, 35,792.88 and 7,216.96

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Solution

The fourth proportional to 23,857.60, 35,792.88 and 7,216.96 is: 10,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.60 : 35,792.88 = 7,216.96 : x
  2. Step 2: Convert to fraction form
    23,857.60/35,792.88 = 7,216.96/x
  3. Step 3: Cross multiply
    23,857.60x = 35,792.88 × 7,216.96
  4. Step 4: Simplify right side
    23,857.60x = 258,315,783.24
  5. Step 5: Solve for x
    x = 258,315,783.24/23,857.60
  6. Step 6: Final answer
    x = 10,827.40

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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.