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Finding the Fourth Proportional to 14,180.64, 19,570.05 and 7,893.15

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Solution

The fourth proportional to 14,180.64, 19,570.05 and 7,893.15 is: 10,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.64 : 19,570.05 = 7,893.15 : x
  2. Step 2: Convert to fraction form
    14,180.64/19,570.05 = 7,893.15/x
  3. Step 3: Cross multiply
    14,180.64x = 19,570.05 × 7,893.15
  4. Step 4: Simplify right side
    14,180.64x = 154,469,340.16
  5. Step 5: Solve for x
    x = 154,469,340.16/14,180.64
  6. Step 6: Final answer
    x = 10,892.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.