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Finding the Fourth Proportional to 14,625.76, 20,182.32 and 8,336.80

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Solution

The fourth proportional to 14,625.76, 20,182.32 and 8,336.80 is: 11,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.76 : 20,182.32 = 8,336.80 : x
  2. Step 2: Convert to fraction form
    14,625.76/20,182.32 = 8,336.80/x
  3. Step 3: Cross multiply
    14,625.76x = 20,182.32 × 8,336.80
  4. Step 4: Simplify right side
    14,625.76x = 168,255,965.38
  5. Step 5: Solve for x
    x = 168,255,965.38/14,625.76
  6. Step 6: Final answer
    x = 11,504.08

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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.