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Finding the Fourth Proportional to 25,797, 35,599.86 and 14,619

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Solution

The fourth proportional to 25,797, 35,599.86 and 14,619 is: 20,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797 : 35,599.86 = 14,619 : x
  2. Step 2: Convert to fraction form
    25,797/35,599.86 = 14,619/x
  3. Step 3: Cross multiply
    25,797x = 35,599.86 × 14,619
  4. Step 4: Simplify right side
    25,797x = 520,434,353.34
  5. Step 5: Solve for x
    x = 520,434,353.34/25,797
  6. Step 6: Final answer
    x = 20,174.22

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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.