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Finding the Fourth Proportional to 15,823.60, 23,735.40 and 13,231.60

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Solution

The fourth proportional to 15,823.60, 23,735.40 and 13,231.60 is: 19,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.60 : 23,735.40 = 13,231.60 : x
  2. Step 2: Convert to fraction form
    15,823.60/23,735.40 = 13,231.60/x
  3. Step 3: Cross multiply
    15,823.60x = 23,735.40 × 13,231.60
  4. Step 4: Simplify right side
    15,823.60x = 314,057,318.64
  5. Step 5: Solve for x
    x = 314,057,318.64/15,823.60
  6. Step 6: Final answer
    x = 19,847.40

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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.