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Finding the Fourth Proportional to 28,142.88, 42,216.32 and 8,419.84

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Solution

The fourth proportional to 28,142.88, 42,216.32 and 8,419.84 is: 12,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.88 : 42,216.32 = 8,419.84 : x
  2. Step 2: Convert to fraction form
    28,142.88/42,216.32 = 8,419.84/x
  3. Step 3: Cross multiply
    28,142.88x = 42,216.32 × 8,419.84
  4. Step 4: Simplify right side
    28,142.88x = 355,454,659.79
  5. Step 5: Solve for x
    x = 355,454,659.79/28,142.88
  6. Step 6: Final answer
    x = 12,630.36

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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.