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Finding the Fourth Proportional to 25,213.75, 34,794.98 and 14,606.80

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Solution

The fourth proportional to 25,213.75, 34,794.98 and 14,606.80 is: 20,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213.75 : 34,794.98 = 14,606.80 : x
  2. Step 2: Convert to fraction form
    25,213.75/34,794.98 = 14,606.80/x
  3. Step 3: Cross multiply
    25,213.75x = 34,794.98 × 14,606.80
  4. Step 4: Simplify right side
    25,213.75x = 508,243,313.86
  5. Step 5: Solve for x
    x = 508,243,313.86/25,213.75
  6. Step 6: Final answer
    x = 20,157.39

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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.