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Finding the Fourth Proportional to 25,855.88, 38,795.34 and 13,541

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Solution

The fourth proportional to 25,855.88, 38,795.34 and 13,541 is: 20,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,855.88 : 38,795.34 = 13,541 : x
  2. Step 2: Convert to fraction form
    25,855.88/38,795.34 = 13,541/x
  3. Step 3: Cross multiply
    25,855.88x = 38,795.34 × 13,541
  4. Step 4: Simplify right side
    25,855.88x = 525,327,698.94
  5. Step 5: Solve for x
    x = 525,327,698.94/25,855.88
  6. Step 6: Final answer
    x = 20,317.53

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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.