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Finding the Fourth Proportional to 25,852.88, 38,790.84 and 13,538

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Solution

The fourth proportional to 25,852.88, 38,790.84 and 13,538 is: 20,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.88 : 38,790.84 = 13,538 : x
  2. Step 2: Convert to fraction form
    25,852.88/38,790.84 = 13,538/x
  3. Step 3: Cross multiply
    25,852.88x = 38,790.84 × 13,538
  4. Step 4: Simplify right side
    25,852.88x = 525,150,391.92
  5. Step 5: Solve for x
    x = 525,150,391.92/25,852.88
  6. Step 6: Final answer
    x = 20,313.03

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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.