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Finding the Fourth Proportional to 18,670.26, 27,988.58 and 6,815.76

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Solution

The fourth proportional to 18,670.26, 27,988.58 and 6,815.76 is: 10,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,670.26 : 27,988.58 = 6,815.76 : x
  2. Step 2: Convert to fraction form
    18,670.26/27,988.58 = 6,815.76/x
  3. Step 3: Cross multiply
    18,670.26x = 27,988.58 × 6,815.76
  4. Step 4: Simplify right side
    18,670.26x = 190,763,409.94
  5. Step 5: Solve for x
    x = 190,763,409.94/18,670.26
  6. Step 6: Final answer
    x = 10,217.50

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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.