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Finding the Fourth Proportional to 25,703.72, 35,469.78 and 14,525

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Solution

The fourth proportional to 25,703.72, 35,469.78 and 14,525 is: 20,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,703.72 : 35,469.78 = 14,525 : x
  2. Step 2: Convert to fraction form
    25,703.72/35,469.78 = 14,525/x
  3. Step 3: Cross multiply
    25,703.72x = 35,469.78 × 14,525
  4. Step 4: Simplify right side
    25,703.72x = 515,198,554.50
  5. Step 5: Solve for x
    x = 515,198,554.50/25,703.72
  6. Step 6: Final answer
    x = 20,043.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.