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Finding the Fourth Proportional to 12,969.56, 17,898.90 and 7,380.56

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Solution

The fourth proportional to 12,969.56, 17,898.90 and 7,380.56 is: 10,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.56 : 17,898.90 = 7,380.56 : x
  2. Step 2: Convert to fraction form
    12,969.56/17,898.90 = 7,380.56/x
  3. Step 3: Cross multiply
    12,969.56x = 17,898.90 × 7,380.56
  4. Step 4: Simplify right side
    12,969.56x = 132,103,905.38
  5. Step 5: Solve for x
    x = 132,103,905.38/12,969.56
  6. Step 6: Final answer
    x = 10,185.69

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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.