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Finding the Fourth Proportional to 12,176.80, 16,803.97 and 6,587.80

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Solution

The fourth proportional to 12,176.80, 16,803.97 and 6,587.80 is: 9,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.80 : 16,803.97 = 6,587.80 : x
  2. Step 2: Convert to fraction form
    12,176.80/16,803.97 = 6,587.80/x
  3. Step 3: Cross multiply
    12,176.80x = 16,803.97 × 6,587.80
  4. Step 4: Simplify right side
    12,176.80x = 110,701,135.09
  5. Step 5: Solve for x
    x = 110,701,135.09/12,176.80
  6. Step 6: Final answer
    x = 9,091.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.