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Finding the Fourth Proportional to 12,021.74, 16,586.71 and 8,245.84

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Solution

The fourth proportional to 12,021.74, 16,586.71 and 8,245.84 is: 11,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.74 : 16,586.71 = 8,245.84 : x
  2. Step 2: Convert to fraction form
    12,021.74/16,586.71 = 8,245.84/x
  3. Step 3: Cross multiply
    12,021.74x = 16,586.71 × 8,245.84
  4. Step 4: Simplify right side
    12,021.74x = 136,771,356.79
  5. Step 5: Solve for x
    x = 136,771,356.79/12,021.74
  6. Step 6: Final answer
    x = 11,377.00

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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.