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Finding the Fourth Proportional to 23,025.60, 34,509.24 and 9,871.20

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Solution

The fourth proportional to 23,025.60, 34,509.24 and 9,871.20 is: 14,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,025.60 : 34,509.24 = 9,871.20 : x
  2. Step 2: Convert to fraction form
    23,025.60/34,509.24 = 9,871.20/x
  3. Step 3: Cross multiply
    23,025.60x = 34,509.24 × 9,871.20
  4. Step 4: Simplify right side
    23,025.60x = 340,647,609.89
  5. Step 5: Solve for x
    x = 340,647,609.89/23,025.60
  6. Step 6: Final answer
    x = 14,794.30

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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.