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Finding the Fourth Proportional to 20,866.28, 31,299.40 and 7,025

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Solution

The fourth proportional to 20,866.28, 31,299.40 and 7,025 is: 10,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.28 : 31,299.40 = 7,025 : x
  2. Step 2: Convert to fraction form
    20,866.28/31,299.40 = 7,025/x
  3. Step 3: Cross multiply
    20,866.28x = 31,299.40 × 7,025
  4. Step 4: Simplify right side
    20,866.28x = 219,878,285
  5. Step 5: Solve for x
    x = 219,878,285/20,866.28
  6. Step 6: Final answer
    x = 10,537.49

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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.