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Finding the Fourth Proportional to 28,580.28, 42,873.28 and 9,857.86

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Solution

The fourth proportional to 28,580.28, 42,873.28 and 9,857.86 is: 14,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580.28 : 42,873.28 = 9,857.86 : x
  2. Step 2: Convert to fraction form
    28,580.28/42,873.28 = 9,857.86/x
  3. Step 3: Cross multiply
    28,580.28x = 42,873.28 × 9,857.86
  4. Step 4: Simplify right side
    28,580.28x = 422,638,791.98
  5. Step 5: Solve for x
    x = 422,638,791.98/28,580.28
  6. Step 6: Final answer
    x = 14,787.78

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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.