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Finding the Fourth Proportional to 28,130.80, 42,198.36 and 8,407.84

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Solution

The fourth proportional to 28,130.80, 42,198.36 and 8,407.84 is: 12,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,130.80 : 42,198.36 = 8,407.84 : x
  2. Step 2: Convert to fraction form
    28,130.80/42,198.36 = 8,407.84/x
  3. Step 3: Cross multiply
    28,130.80x = 42,198.36 × 8,407.84
  4. Step 4: Simplify right side
    28,130.80x = 354,797,059.14
  5. Step 5: Solve for x
    x = 354,797,059.14/28,130.80
  6. Step 6: Final answer
    x = 12,612.41

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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.