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Finding the Fourth Proportional to 16,870.82, 25,308.54 and 6,340.41

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Solution

The fourth proportional to 16,870.82, 25,308.54 and 6,340.41 is: 9,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.82 : 25,308.54 = 6,340.41 : x
  2. Step 2: Convert to fraction form
    16,870.82/25,308.54 = 6,340.41/x
  3. Step 3: Cross multiply
    16,870.82x = 25,308.54 × 6,340.41
  4. Step 4: Simplify right side
    16,870.82x = 160,466,520.10
  5. Step 5: Solve for x
    x = 160,466,520.10/16,870.82
  6. Step 6: Final answer
    x = 9,511.49

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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.