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Finding the Fourth Proportional to 25,722, 35,496.90 and 14,544

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Solution

The fourth proportional to 25,722, 35,496.90 and 14,544 is: 20,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722 : 35,496.90 = 14,544 : x
  2. Step 2: Convert to fraction form
    25,722/35,496.90 = 14,544/x
  3. Step 3: Cross multiply
    25,722x = 35,496.90 × 14,544
  4. Step 4: Simplify right side
    25,722x = 516,266,913.60
  5. Step 5: Solve for x
    x = 516,266,913.60/25,722
  6. Step 6: Final answer
    x = 20,071.03

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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.