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Finding the Fourth Proportional to 25,532, 35,232 and 14,353.28

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Solution

The fourth proportional to 25,532, 35,232 and 14,353.28 is: 19,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532 : 35,232 = 14,353.28 : x
  2. Step 2: Convert to fraction form
    25,532/35,232 = 14,353.28/x
  3. Step 3: Cross multiply
    25,532x = 35,232 × 14,353.28
  4. Step 4: Simplify right side
    25,532x = 505,694,760.96
  5. Step 5: Solve for x
    x = 505,694,760.96/25,532
  6. Step 6: Final answer
    x = 19,806.31

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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.