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Finding the Fourth Proportional to 18,562, 27,842.46 and 6,874.96

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Solution

The fourth proportional to 18,562, 27,842.46 and 6,874.96 is: 10,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562 : 27,842.46 = 6,874.96 : x
  2. Step 2: Convert to fraction form
    18,562/27,842.46 = 6,874.96/x
  3. Step 3: Cross multiply
    18,562x = 27,842.46 × 6,874.96
  4. Step 4: Simplify right side
    18,562x = 191,415,798.80
  5. Step 5: Solve for x
    x = 191,415,798.80/18,562
  6. Step 6: Final answer
    x = 10,312.24

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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.