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Finding the Fourth Proportional to 11,754.95, 17,632.55 and 2,989.87

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Solution

The fourth proportional to 11,754.95, 17,632.55 and 2,989.87 is: 4,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.95 : 17,632.55 = 2,989.87 : x
  2. Step 2: Convert to fraction form
    11,754.95/17,632.55 = 2,989.87/x
  3. Step 3: Cross multiply
    11,754.95x = 17,632.55 × 2,989.87
  4. Step 4: Simplify right side
    11,754.95x = 52,718,973.24
  5. Step 5: Solve for x
    x = 52,718,973.24/11,754.95
  6. Step 6: Final answer
    x = 4,484.83

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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.