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Finding the Fourth Proportional to 19,134.96, 28,705.32 and 6,822

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Solution

The fourth proportional to 19,134.96, 28,705.32 and 6,822 is: 10,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,134.96 : 28,705.32 = 6,822 : x
  2. Step 2: Convert to fraction form
    19,134.96/28,705.32 = 6,822/x
  3. Step 3: Cross multiply
    19,134.96x = 28,705.32 × 6,822
  4. Step 4: Simplify right side
    19,134.96x = 195,827,693.04
  5. Step 5: Solve for x
    x = 195,827,693.04/19,134.96
  6. Step 6: Final answer
    x = 10,234.03

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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.