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Finding the Fourth Proportional to 25,720.63, 35,493.02 and 14,234.92

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Solution

The fourth proportional to 25,720.63, 35,493.02 and 14,234.92 is: 19,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.63 : 35,493.02 = 14,234.92 : x
  2. Step 2: Convert to fraction form
    25,720.63/35,493.02 = 14,234.92/x
  3. Step 3: Cross multiply
    25,720.63x = 35,493.02 × 14,234.92
  4. Step 4: Simplify right side
    25,720.63x = 505,240,273.80
  5. Step 5: Solve for x
    x = 505,240,273.80/25,720.63
  6. Step 6: Final answer
    x = 19,643.38

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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.