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Finding the Fourth Proportional to 15,811.24, 23,731.50 and 8,025.64

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Solution

The fourth proportional to 15,811.24, 23,731.50 and 8,025.64 is: 12,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.24 : 23,731.50 = 8,025.64 : x
  2. Step 2: Convert to fraction form
    15,811.24/23,731.50 = 8,025.64/x
  3. Step 3: Cross multiply
    15,811.24x = 23,731.50 × 8,025.64
  4. Step 4: Simplify right side
    15,811.24x = 190,460,475.66
  5. Step 5: Solve for x
    x = 190,460,475.66/15,811.24
  6. Step 6: Final answer
    x = 12,045.89

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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.