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Finding the Fourth Proportional to 25,604, 35,333.52 and 13,828

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Solution

The fourth proportional to 25,604, 35,333.52 and 13,828 is: 19,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604 : 35,333.52 = 13,828 : x
  2. Step 2: Convert to fraction form
    25,604/35,333.52 = 13,828/x
  3. Step 3: Cross multiply
    25,604x = 35,333.52 × 13,828
  4. Step 4: Simplify right side
    25,604x = 488,591,914.56
  5. Step 5: Solve for x
    x = 488,591,914.56/25,604
  6. Step 6: Final answer
    x = 19,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.