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Finding the Fourth Proportional to 22,050.68, 30,429.41 and 11,978.89

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Solution

The fourth proportional to 22,050.68, 30,429.41 and 11,978.89 is: 16,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050.68 : 30,429.41 = 11,978.89 : x
  2. Step 2: Convert to fraction form
    22,050.68/30,429.41 = 11,978.89/x
  3. Step 3: Cross multiply
    22,050.68x = 30,429.41 × 11,978.89
  4. Step 4: Simplify right side
    22,050.68x = 364,510,419.19
  5. Step 5: Solve for x
    x = 364,510,419.19/22,050.68
  6. Step 6: Final answer
    x = 16,530.58

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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.