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Finding the Fourth Proportional to 25,359.24, 38,042.98 and 7,825

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Solution

The fourth proportional to 25,359.24, 38,042.98 and 7,825 is: 11,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,359.24 : 38,042.98 = 7,825 : x
  2. Step 2: Convert to fraction form
    25,359.24/38,042.98 = 7,825/x
  3. Step 3: Cross multiply
    25,359.24x = 38,042.98 × 7,825
  4. Step 4: Simplify right side
    25,359.24x = 297,686,318.50
  5. Step 5: Solve for x
    x = 297,686,318.50/25,359.24
  6. Step 6: Final answer
    x = 11,738.77

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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.