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Finding the Fourth Proportional to 25,872, 35,703.36 and 14,694

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Solution

The fourth proportional to 25,872, 35,703.36 and 14,694 is: 20,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872 : 35,703.36 = 14,694 : x
  2. Step 2: Convert to fraction form
    25,872/35,703.36 = 14,694/x
  3. Step 3: Cross multiply
    25,872x = 35,703.36 × 14,694
  4. Step 4: Simplify right side
    25,872x = 524,625,171.84
  5. Step 5: Solve for x
    x = 524,625,171.84/25,872
  6. Step 6: Final answer
    x = 20,277.72

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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.