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Finding the Fourth Proportional to 14,596.61, 20,137.41 and 9,290.43

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Solution

The fourth proportional to 14,596.61, 20,137.41 and 9,290.43 is: 12,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.61 : 20,137.41 = 9,290.43 : x
  2. Step 2: Convert to fraction form
    14,596.61/20,137.41 = 9,290.43/x
  3. Step 3: Cross multiply
    14,596.61x = 20,137.41 × 9,290.43
  4. Step 4: Simplify right side
    14,596.61x = 187,085,197.99
  5. Step 5: Solve for x
    x = 187,085,197.99/14,596.61
  6. Step 6: Final answer
    x = 12,817.04

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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.