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Finding the Fourth Proportional to 12,072.96, 16,659.84 and 7,358.76

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Solution

The fourth proportional to 12,072.96, 16,659.84 and 7,358.76 is: 10,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.96 : 16,659.84 = 7,358.76 : x
  2. Step 2: Convert to fraction form
    12,072.96/16,659.84 = 7,358.76/x
  3. Step 3: Cross multiply
    12,072.96x = 16,659.84 × 7,358.76
  4. Step 4: Simplify right side
    12,072.96x = 122,595,764.20
  5. Step 5: Solve for x
    x = 122,595,764.20/12,072.96
  6. Step 6: Final answer
    x = 10,154.57

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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.