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Finding the Fourth Proportional to 16,838.20, 25,257.30 and 12,464.20

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Solution

The fourth proportional to 16,838.20, 25,257.30 and 12,464.20 is: 18,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.20 : 25,257.30 = 12,464.20 : x
  2. Step 2: Convert to fraction form
    16,838.20/25,257.30 = 12,464.20/x
  3. Step 3: Cross multiply
    16,838.20x = 25,257.30 × 12,464.20
  4. Step 4: Simplify right side
    16,838.20x = 314,812,038.66
  5. Step 5: Solve for x
    x = 314,812,038.66/16,838.20
  6. Step 6: Final answer
    x = 18,696.30

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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.