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Finding the Fourth Proportional to 11,665.69, 17,498.16 and 2,900.58

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Solution

The fourth proportional to 11,665.69, 17,498.16 and 2,900.58 is: 4,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.69 : 17,498.16 = 2,900.58 : x
  2. Step 2: Convert to fraction form
    11,665.69/17,498.16 = 2,900.58/x
  3. Step 3: Cross multiply
    11,665.69x = 17,498.16 × 2,900.58
  4. Step 4: Simplify right side
    11,665.69x = 50,754,812.93
  5. Step 5: Solve for x
    x = 50,754,812.93/11,665.69
  6. Step 6: Final answer
    x = 4,350.78

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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.