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Finding the Fourth Proportional to 14,859.25, 20,506.68 and 8,571.63

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Solution

The fourth proportional to 14,859.25, 20,506.68 and 8,571.63 is: 11,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,859.25 : 20,506.68 = 8,571.63 : x
  2. Step 2: Convert to fraction form
    14,859.25/20,506.68 = 8,571.63/x
  3. Step 3: Cross multiply
    14,859.25x = 20,506.68 × 8,571.63
  4. Step 4: Simplify right side
    14,859.25x = 175,775,673.49
  5. Step 5: Solve for x
    x = 175,775,673.49/14,859.25
  6. Step 6: Final answer
    x = 11,829.38

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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.