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Finding the Fourth Proportional to 25,811, 35,619.18 and 14,633

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Solution

The fourth proportional to 25,811, 35,619.18 and 14,633 is: 20,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,811 : 35,619.18 = 14,633 : x
  2. Step 2: Convert to fraction form
    25,811/35,619.18 = 14,633/x
  3. Step 3: Cross multiply
    25,811x = 35,619.18 × 14,633
  4. Step 4: Simplify right side
    25,811x = 521,215,460.94
  5. Step 5: Solve for x
    x = 521,215,460.94/25,811
  6. Step 6: Final answer
    x = 20,193.54

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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.