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Finding the Fourth Proportional to 12,123.82, 16,711.81 and 11,106.86

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Solution

The fourth proportional to 12,123.82, 16,711.81 and 11,106.86 is: 15,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.82 : 16,711.81 = 11,106.86 : x
  2. Step 2: Convert to fraction form
    12,123.82/16,711.81 = 11,106.86/x
  3. Step 3: Cross multiply
    12,123.82x = 16,711.81 × 11,106.86
  4. Step 4: Simplify right side
    12,123.82x = 185,615,734.02
  5. Step 5: Solve for x
    x = 185,615,734.02/12,123.82
  6. Step 6: Final answer
    x = 15,310.00

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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.