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Finding the Fourth Proportional to 11,665.81, 17,498.65 and 2,900.67

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Solution

The fourth proportional to 11,665.81, 17,498.65 and 2,900.67 is: 4,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.81 : 17,498.65 = 2,900.67 : x
  2. Step 2: Convert to fraction form
    11,665.81/17,498.65 = 2,900.67/x
  3. Step 3: Cross multiply
    11,665.81x = 17,498.65 × 2,900.67
  4. Step 4: Simplify right side
    11,665.81x = 50,757,809.10
  5. Step 5: Solve for x
    x = 50,757,809.10/11,665.81
  6. Step 6: Final answer
    x = 4,350.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.