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Finding the Fourth Proportional to 16,847.70, 25,256.23 and 10,588.75

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Solution

The fourth proportional to 16,847.70, 25,256.23 and 10,588.75 is: 15,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.70 : 25,256.23 = 10,588.75 : x
  2. Step 2: Convert to fraction form
    16,847.70/25,256.23 = 10,588.75/x
  3. Step 3: Cross multiply
    16,847.70x = 25,256.23 × 10,588.75
  4. Step 4: Simplify right side
    16,847.70x = 267,431,905.41
  5. Step 5: Solve for x
    x = 267,431,905.41/16,847.70
  6. Step 6: Final answer
    x = 15,873.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.