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Finding the Fourth Proportional to 13,730.38, 18,947.81 and 7,763.22

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Solution

The fourth proportional to 13,730.38, 18,947.81 and 7,763.22 is: 10,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.38 : 18,947.81 = 7,763.22 : x
  2. Step 2: Convert to fraction form
    13,730.38/18,947.81 = 7,763.22/x
  3. Step 3: Cross multiply
    13,730.38x = 18,947.81 × 7,763.22
  4. Step 4: Simplify right side
    13,730.38x = 147,096,036.96
  5. Step 5: Solve for x
    x = 147,096,036.96/13,730.38
  6. Step 6: Final answer
    x = 10,713.18

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Why These Related Problems?

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