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Finding the Fourth Proportional to 25,596.72, 38,379.24 and 9,996

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Solution

The fourth proportional to 25,596.72, 38,379.24 and 9,996 is: 14,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.72 : 38,379.24 = 9,996 : x
  2. Step 2: Convert to fraction form
    25,596.72/38,379.24 = 9,996/x
  3. Step 3: Cross multiply
    25,596.72x = 38,379.24 × 9,996
  4. Step 4: Simplify right side
    25,596.72x = 383,638,883.04
  5. Step 5: Solve for x
    x = 383,638,883.04/25,596.72
  6. Step 6: Final answer
    x = 14,987.81

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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.