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Finding the Fourth Proportional to 25,107.68, 37,635.24 and 8,461.96

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Solution

The fourth proportional to 25,107.68, 37,635.24 and 8,461.96 is: 12,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.68 : 37,635.24 = 8,461.96 : x
  2. Step 2: Convert to fraction form
    25,107.68/37,635.24 = 8,461.96/x
  3. Step 3: Cross multiply
    25,107.68x = 37,635.24 × 8,461.96
  4. Step 4: Simplify right side
    25,107.68x = 318,467,895.47
  5. Step 5: Solve for x
    x = 318,467,895.47/25,107.68
  6. Step 6: Final answer
    x = 12,684.08

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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.