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Finding the Fourth Proportional to 12,207.86, 16,829.58 and 8,669.78

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Solution

The fourth proportional to 12,207.86, 16,829.58 and 8,669.78 is: 11,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.86 : 16,829.58 = 8,669.78 : x
  2. Step 2: Convert to fraction form
    12,207.86/16,829.58 = 8,669.78/x
  3. Step 3: Cross multiply
    12,207.86x = 16,829.58 × 8,669.78
  4. Step 4: Simplify right side
    12,207.86x = 145,908,756.09
  5. Step 5: Solve for x
    x = 145,908,756.09/12,207.86
  6. Step 6: Final answer
    x = 11,952.03

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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.