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Finding the Fourth Proportional to 24,986.49, 37,467 and 8,340.54

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Solution

The fourth proportional to 24,986.49, 37,467 and 8,340.54 is: 12,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,986.49 : 37,467 = 8,340.54 : x
  2. Step 2: Convert to fraction form
    24,986.49/37,467 = 8,340.54/x
  3. Step 3: Cross multiply
    24,986.49x = 37,467 × 8,340.54
  4. Step 4: Simplify right side
    24,986.49x = 312,495,012.18
  5. Step 5: Solve for x
    x = 312,495,012.18/24,986.49
  6. Step 6: Final answer
    x = 12,506.56

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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.