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Finding the Fourth Proportional to 12,076.70, 16,666.56 and 6,771.80

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Solution

The fourth proportional to 12,076.70, 16,666.56 and 6,771.80 is: 9,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.70 : 16,666.56 = 6,771.80 : x
  2. Step 2: Convert to fraction form
    12,076.70/16,666.56 = 6,771.80/x
  3. Step 3: Cross multiply
    12,076.70x = 16,666.56 × 6,771.80
  4. Step 4: Simplify right side
    12,076.70x = 112,862,652.67
  5. Step 5: Solve for x
    x = 112,862,652.67/12,076.70
  6. Step 6: Final answer
    x = 9,345.49

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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.