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Finding the Fourth Proportional to 30,022.68, 41,431.86 and 16,594.68

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Solution

The fourth proportional to 30,022.68, 41,431.86 and 16,594.68 is: 22,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.68 : 41,431.86 = 16,594.68 : x
  2. Step 2: Convert to fraction form
    30,022.68/41,431.86 = 16,594.68/x
  3. Step 3: Cross multiply
    30,022.68x = 41,431.86 × 16,594.68
  4. Step 4: Simplify right side
    30,022.68x = 687,548,458.50
  5. Step 5: Solve for x
    x = 687,548,458.50/30,022.68
  6. Step 6: Final answer
    x = 22,900.97

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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.