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Finding the Fourth Proportional to 18,007.60, 26,999.10 and 8,141.50

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Solution

The fourth proportional to 18,007.60, 26,999.10 and 8,141.50 is: 12,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,007.60 : 26,999.10 = 8,141.50 : x
  2. Step 2: Convert to fraction form
    18,007.60/26,999.10 = 8,141.50/x
  3. Step 3: Cross multiply
    18,007.60x = 26,999.10 × 8,141.50
  4. Step 4: Simplify right side
    18,007.60x = 219,813,172.65
  5. Step 5: Solve for x
    x = 219,813,172.65/18,007.60
  6. Step 6: Final answer
    x = 12,206.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.