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Finding the Fourth Proportional to 12,186, 16,816.68 and 6,597

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Solution

The fourth proportional to 12,186, 16,816.68 and 6,597 is: 9,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186 : 16,816.68 = 6,597 : x
  2. Step 2: Convert to fraction form
    12,186/16,816.68 = 6,597/x
  3. Step 3: Cross multiply
    12,186x = 16,816.68 × 6,597
  4. Step 4: Simplify right side
    12,186x = 110,939,637.96
  5. Step 5: Solve for x
    x = 110,939,637.96/12,186
  6. Step 6: Final answer
    x = 9,103.86

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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.