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Finding the Fourth Proportional to 13,059, 19,592.55 and 3,825

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Solution

The fourth proportional to 13,059, 19,592.55 and 3,825 is: 5,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059 : 19,592.55 = 3,825 : x
  2. Step 2: Convert to fraction form
    13,059/19,592.55 = 3,825/x
  3. Step 3: Cross multiply
    13,059x = 19,592.55 × 3,825
  4. Step 4: Simplify right side
    13,059x = 74,941,503.75
  5. Step 5: Solve for x
    x = 74,941,503.75/13,059
  6. Step 6: Final answer
    x = 5,738.69

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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.