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Finding the Fourth Proportional to 28,274.88, 42,402.36 and 8,278.86

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Solution

The fourth proportional to 28,274.88, 42,402.36 and 8,278.86 is: 12,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274.88 : 42,402.36 = 8,278.86 : x
  2. Step 2: Convert to fraction form
    28,274.88/42,402.36 = 8,278.86/x
  3. Step 3: Cross multiply
    28,274.88x = 42,402.36 × 8,278.86
  4. Step 4: Simplify right side
    28,274.88x = 351,043,202.11
  5. Step 5: Solve for x
    x = 351,043,202.11/28,274.88
  6. Step 6: Final answer
    x = 12,415.37

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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.