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Finding the Fourth Proportional to 25,810.89, 38,722.83 and 7,342.89

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Solution

The fourth proportional to 25,810.89, 38,722.83 and 7,342.89 is: 11,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,810.89 : 38,722.83 = 7,342.89 : x
  2. Step 2: Convert to fraction form
    25,810.89/38,722.83 = 7,342.89/x
  3. Step 3: Cross multiply
    25,810.89x = 38,722.83 × 7,342.89
  4. Step 4: Simplify right side
    25,810.89x = 284,337,481.18
  5. Step 5: Solve for x
    x = 284,337,481.18/25,810.89
  6. Step 6: Final answer
    x = 11,016.18

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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.