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Finding the Fourth Proportional to 21,025.86, 31,538.79 and 7,174.50

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Solution

The fourth proportional to 21,025.86, 31,538.79 and 7,174.50 is: 10,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025.86 : 31,538.79 = 7,174.50 : x
  2. Step 2: Convert to fraction form
    21,025.86/31,538.79 = 7,174.50/x
  3. Step 3: Cross multiply
    21,025.86x = 31,538.79 × 7,174.50
  4. Step 4: Simplify right side
    21,025.86x = 226,275,048.86
  5. Step 5: Solve for x
    x = 226,275,048.86/21,025.86
  6. Step 6: Final answer
    x = 10,761.75

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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.