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Finding the Fourth Proportional to 28,133.69, 42,194.24 and 8,409.68

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Solution

The fourth proportional to 28,133.69, 42,194.24 and 8,409.68 is: 12,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,133.69 : 42,194.24 = 8,409.68 : x
  2. Step 2: Convert to fraction form
    28,133.69/42,194.24 = 8,409.68/x
  3. Step 3: Cross multiply
    28,133.69x = 42,194.24 × 8,409.68
  4. Step 4: Simplify right side
    28,133.69x = 354,839,803.22
  5. Step 5: Solve for x
    x = 354,839,803.22/28,133.69
  6. Step 6: Final answer
    x = 12,612.63

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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.