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Finding the Fourth Proportional to 13,730.87, 18,964.16 and 9,246.82

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Solution

The fourth proportional to 13,730.87, 18,964.16 and 9,246.82 is: 12,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.87 : 18,964.16 = 9,246.82 : x
  2. Step 2: Convert to fraction form
    13,730.87/18,964.16 = 9,246.82/x
  3. Step 3: Cross multiply
    13,730.87x = 18,964.16 × 9,246.82
  4. Step 4: Simplify right side
    13,730.87x = 175,358,173.97
  5. Step 5: Solve for x
    x = 175,358,173.97/13,730.87
  6. Step 6: Final answer
    x = 12,771.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.